Variable function generator

Abstract

A fully digitalized function-of-time generator suitable for use as a tone envelope generator in a digital electronic musical instrument, comprising: a clock pulse generator for generating a clock pulse at a selectable rate; a gate enabled at each arrival of the clock pulse; a single-stage binary shift register for successively shifting out its contents as a digital word representing the instantaneous values of a desired function of time synchronously with the clock pulse; a digital subtractor; a digital multiplier; and a digital adder, all of these members being interconnected to each other to be operative so that the output of the register is subtracted from a first set value representing a digital word, the resulting difference being multiplied by a second set value representing a digital word, the resulting product being added to the output of the register via the gate, so that the resulting sum is loaded into the register. Thus, the contents of the register approaches progressively toward the first set value, and finally becomes in agreement therewith. Thus, this musical instrument can produce a musical tone rich in expression and imparted with desired tone envelope characteristic, by appropriate choice of one or more of the first and the second values and the rate of the clock pulse.

Description

This is a continuation of application Ser. No. 34,925 filed Apr. 25, 1979, and now abandoned which is a Reissue application of 769,303, filed Feb. 16, 1977, which matured into U.S. Pat. No. 4,135,424, issued Jan. 23, 1979. Subtractor 11, multiplier 12, gate 13, adder 14, and shift register 15, in effect define a digital filter having transfer characteristics which change with the amount of feedback.

The operation of the digital function-of-time generator shown in FIG. 1 will hereunder be explained with reference to FIGS. 2A and 2B.

Let us now consider, by referring to FIG. 2A, the variation with time of the contents S_b of the register 15 in the instance wherein the first set value S_a is set so as to be greater than the value of the content S_b0 existing at time t₀ in the register 15. In this instance, the initial difference D₀ is multiplied, at the multiplier 12, by the second set value S_c which is less than one (1). The resulting product D₀ ×S_c which is smaller than the initial difference D₀ is applied to the adder 14 at time t₁ at which time the first clock pulse CK arrives, and the resulting product which is applied to the adder 14 is added to the contents S_b0. The resulting sum (D₀ ×S_c +S_b0) is loaded to the register 15. The difference D₁ between the first set value S_a and the content S_b1 =D₀ ×S_c +S_b0 loaded now in the register 15 is then multiplied by the second set value S_c. The resulting product D₁ ×S_c is then added to the content S_b1 at time t₂ at which time the next clock pulse CK arrives. The resulting sum D₂ =D₁ ×S_c +S_b1 is then loaded to the register 15. As stated above, the value of the content S_b of the register 15 will progressively approach toward the first set value S_a along the broken line curve C₁ shown in FIG. 2A at each arrival of the clock pulse CK. Ultimately, the value of the content S_b in the register 15 will become in agreement with the first set value S_a. In this state, the difference D is nil. It should be understood here that the broken line curve C₁ indicates a function of time which is generated in digital representation by the digital function-of-time generator shown in FIG. 1. Strictly speaking, the shape of the function is time-slottedly stepwise, but for the sake of convenience the shape is shown as a gradually changing continuous curve herein. Thus, the transfer characteristic is controlled by changing the amount of feedback thereto with the output data of the envelope speed memory to generate a required envelope waveshape.

The operation in the instance wherein the first set value S_a is set so as to be smaller than the value of the content S_b0 existing at time t₀ in the register 15 need only to be considered similar to that stated previously. In such an instance, there is obtained a function of time which is shown by the broken line curve C₂ shown in FIG. 2B.

The broken line curves C₁ and C₂ shown in FIGS. 2A and 2B, i.e. the forms of the generated functions of time, are dependent upon the first set value S_a, the second set values S_c and the rate of the clock pulse CK, respectively. More particularly, by setting the rate of the clock pulse CK so as to be quicker, and by setting the first set value S_a so that the difference D=S_a -S_b will take a larger value, and by setting the second set value S_c so as to be substantially smaller than one (1), the broken line curves C₁ and C₂ will become steep.

As such, with the digital function-of-time generator of the present invention, it is possible to generate a required function of time simply by properly choosing the first and second set values S_a and S_c and the rate of the clock pulse CK.

A concrete example of the digital function-of-time generator of the present invention intended for use as the envelope shape generating means in a digital electronic musical instrument will hereunder be explained in detail by referring to FIGS. 3 through 7.

In FIG. 3 is shown a digital electronic musical instrument embodying the present invention, which comprises: a keyboard section 21; a tone waveshape generator section 22; a digital multiplier 23; an envelope shape generator 24 which embodies the present invention; and a sounding system including a digital-to-analog (D/A) converter 25, an amplifier 26 and a loud speaker 27. The tone waveshape generator section 22 is adapted to successively generate digital words representative of sample values constituting a tone waveshape selected by the keyboard section 21. The tone waveshape generator section 22 is illustrated herein simply by block, because its structure may be of a conventional form. For instance, the tone waveshape generator section 22 may have such an arrangement as that shown in U.S. Pat. No. 3,809,786 entitled COMPUTOR ORGAN in which a tone waveshape is digitally produced by implementing, in synchronism with a timing pulse Φ, a discrete Fourier algorithm.

The tone waveshape which is generated from the tone waveshape generator section 22, the amplitude of which remains constant relative to time, is multiplied at a digital multiplier 23 by an envelope waveshape S_b which is generated from an envelope shape generator 24, so that the tone waveshape which is provided with the envelope characteristics such as the attack, decay and so forth is obtained at the output of the digital multiplier 23. The digital words outputted from the digital multiplier 23 are then converted to analog voltages by the D/A converter 25, and these analog voltages are amplified at the amplifier 56 to drive the speaker 27.

The operation of the whole system will be explained hereunder more concretely by referring to FIGS. 4A, 4B and 4C. During the period of time that a certain key of the keyboard not shown is depressed, there is delivered from the keyboard section 21 a key-on-signal KON as that shown in FIG. 4A. Upon generation of this key-on signal KON, the envelope generator 24 will generate an envelope waveshape S_b in digital word representations defining a waveshape as shown in FIG. 4B, to be applied to the digital multiplier 23. Thus, as shown in FIG. 4C, there is obtained, at the output of the amplifier 26, an analog tone waveshape having an envelope corresponding to the envelope waveshape S_b.

FIG. 5 shows a concrete example of the envelope shape generator 24 shown in FIG. 3, which includes: a function calculating section 300 having the same arrangement as that of the basal embodiment of the present invention illustrated in FIG. 1; a clock pulse generating section comprising pulse generators 650, 660 and 670, AND gates 651, 661 and 671, and an OR gate 690; a level setting section comprising level setters 610, 620 and 630, gate circuits 611, 621 and 631, and an OR circuit (bit-by-bit OR logic) 640; and a control section including logic circuit 600 and an AND gate 681.

The level setters 610, 620 and 630 are provided to generate digital words representative of the attack level L_a, the sustain level L_s and the reference (zero) level L_f (see FIG. 4B), respectively. These level setters set the level of the input to the subtractor 11 and control the waveshape level in accordance with attack, decay, sustain and release. These setters may be comprised of, for example, read-only memory or the like, respectively. Also, the sustain lever setter 620 may be constituted of a plurality of read-only memories or the like, respectively. Also, the sustain level setter 620 may be constituted of a plurality of read-only memories containing different storages, to be operative so as to read out the storage of a single read-only memory selected from these plural number of read-only memories by a manual switching operation of the switching means which is provided on, for example, the operating panel of an electronic musical instrument, to thereby insure that the player of the instrument can alter the sustain level L_s at will. It will be needless to say, however, that the aforesaid level setters 610, 620 and 630 may have any other arrangement than that mentioned above.

The outputs of the level setters 610, 620 and 630 will be selectively applied, as the first set value S_a, to the subtracter 11 of the function calculating section 300 via the gate circuits 611, 621 and 631 and the OR circuit 640.

Those pulses CK_a, CK_d1 and CK_d2 which are generated by the pulse generators 650, 660 and 670 are applied, as the clock pulse CK, to the gate 13 of the function calculating section 300, respectively, during the respective periods of time, i.e. the attack time, the first decay time and the second decay time (see FIG. 4B). Arrangement may be provided so that these pulse generators 650, 660 and 670 are to serve as the voltage-controlled oscillators and that the oscillation frequencies of these respective voltage-controlled oscillators, i.e. the frequencies of the generated pulses CK_a, CK_d1 and CK_d2, can be varied by the operation of, for example, manual levers which are provided on the operating panel of the electronic musical instrument. The oscillators produce pulses at different frequencies associated with attack, decay, sustain, and release, respectively, to control gate 13 and thus control envelope speed. Logic circuit 600 controls the logic gates to apply the pulse train from one of the oscillators to gate 13, since the amount of feedback to subtractor 11 varies, and the output value in shift register 15 changes.

Description will hereuner be made on the operation of the envelope shape generator 24 shown in FIG. 5.

When a key is depressed, the keyboard section 21 shown in FIG. 3 will generate the key-on signal KON. The logic circuit 600, immediately after the arrival of the key-on signal KON, will deliver an attack command signal AK to the AND gate 651 and to the gate circuit 611, thereby enabling them. Whereupon, the pulse CK_a which is generated by the pulse generator 650 is applied, as the clock pulse CK, to the gate 13 in the function calculating section 300 via the enabled AND gate 651 and the OR gate 690, and along therewith the output L_a of the attack level setter 610 is applied, as the first set value S_a, to the subtractor 11 provided in the function calculating section 300, via the enabled gate circuit 611 and the OR circuit 640. Subsequently, at each arrival of the clock pulse CK_a, the value of the output S_b of the register 15 undergoes a progressive augmentation toward the first set value S_a, i.e. the attack level L_a. As a result, there is obtained the attack envelope ENV₁ as shown in FIG. 4B.

When the value of the output S_b of the register 15 has increased up to the attack level L_a, and when thus the output D of the subtractor 11 becomes zero, the logic circuit 600 will cease the generation of the attack command signal AK, and at the same time therewith the logic circuit 600 will deliver the first decay command signal DY₁ to the AND gate 661 and to the gate circuit 621. Accordingly, the pulse CK_d1 which is generated by the pulse generator 660 is applied, as the clock pulse CK, to the gate 13 via the enabled AND gate 661 and via the OR gate 690. Along therewith, the sustain level L_s which is derived from the sutain level setter 620 is applied, as the first set value S_a, to the subtractor 11 via the enabled gate circuit 621 and via the OR circuit 640. Thus, upon each arrival of the clock pulse CK_d1, the output S_b progressively decreases in value toward the sustain level L_s. As a result, there is obtained the first decay envelope ENV₂ as shown in FIG. 4B. Continuously after the sustain time (see FIG. 4B), the output S_b will be held continuously at the sustain level L_s so long as the applied key-on signal KON is present, i.e. until the depressed key is released.

When the depressed key is released, the keyboard section 21 ceases the generation of the key-on signal KON. When, thus, the key-on signal KON ceases to arrive, the logic circuit 600 immediately stops the generation of the first decay command signal DY₁. At the same time therewith, this logic circuit 600 gives out the second decay command signal DY₂. Whereupon, both the AND gate 671 and the gate circuit 631 are enabled by said second decay command signal DY₂. Thus, the pulse CK_d2 which is delivered from the pulse generator 670 and the reference (zero) level L_f which is delivered from the reference level setter 630 are both applied, as the clock pulse CK and the first set value S_a respectively, to the function calculating section 300. In this way, at each arrival of the clock pulse CK_d2, the output S_b of the register 15 will become progressively mitigated toward the reference level L_f, and as a result there is obtained the second decay envelope ENV₃ as as shown in FIG. 4B. When the output S_b has decreased up to the reference level L_f and when thus the output D of the subtractor 11 has become zero, the logic circuit 600 ceases the generation of the second decay command signal DY₂, and it generates the clear compound signal CR. This clear command signal CR enables the AND gate 681. Via the resulting enabled AND gate 681 and the OR gate 690, the clear signal of "1" level whose source is not shown is applied to the gate 13 provided in the function calculating section 300. As a result, the gate 13 is enabled. At this point of time, the gate circuits 611, 621 and 631 are all in the disabled state, and the first set value S_a is zero (reference value). Therefore, the content S_b of the register 15 is held zero.

A concrete example of the logic circuit 600 shown in FIG. 5 is illustrated in FIG. 6. Hereunder will be described the arrangement and the behavior of this logic circuit 600 by referring to FIGS. 7 and 8.

In FIG. 6, symbols FF₁ -FF₈ represent flip-flops respectively. Symbols AND₁ -AND₈ represent AND gates, respectively. Symbols OR₁ -OR₄ represent OR gates, respectively. Symbol NOR₁ represents an NOR gate, Symbols INV₁ -INV₄ represent inverters, respectively.

When a key is depressed, and when accordingly a key-on signal KON is given out from the keyboard section 21, the flip-flop FF₅ is set at the point of time when a timing pulse Φ generated immediately after the key depression arrives. Whereupon, the Q output of this flip-flop FF₅ is rendered to "1" level. At the arrival of the next timing pulseΦ, the flip-flop FF₆ is set, and its Q output is rendered to "0" level. Accordingly, the AND gate AND₇ gives out a pulse P_ON as shown in FIG. 7. By the timing pulse Φ which arrives during the period of time in which this pulse P_ON is applied to the flip-flop FF₂ via the OR gate OR₁, this flip-flop FF₂ is set, so that its Q output is rendered to "1" level. Whereby, there is generated an attack command signal AK.

During the attack time (see FIG. 4B), the output D of the subtractor 11 is not zero, and accordingly the NOR gate NOR₁ will generate a "0" level output. Therefore, continuously after the pulse P_ON has ceased to be present, the "1" level output of the AND gate AND₂ continues to be applied to the data terminal of the flip-flop FF₂, so that the flip-flop FF₂ is held continuously in its set state. More specifically, the attack command signal AK is continuously delivered throughout the period of the attack time (see FIG. 4B).

When, at the end of the attack time, the output D of the subtractor 11 becomes zero, the NOR gate NOR₁ gives out "1" level output. As a result, the output of the AND gate AND₆ becomes "1" level, causing the flip-flop FF₂ to reset, and accordingly the generation of the attack command signal AK ceases. At the same time therewith, the "1" level output of the AND gate AND₆ is applied to the flip-flop FF₃ via the OR gate OR₃, causing this flip-flop FF₃ to set, and its Q output is rendered to "1" level. Whereby, there is delivered the first decay command signal DY₁. During this period of the first decay time and the sustain time (see FIG. 4B), the flip-flop FF₄ remains in its reset state. Accordingly, the output of the inverter INV₃ is in the "1" level. Therefore, the output of the AND gate AND₃ remains in the "1" level throughout the first decay time and the sustain time. Thus, the flip-flop FF₃ is held in its set state, and the first decay command signal DY₁ is continuously given out.

When the depressed key is released, the keyboard section 21 ceases the generation of the key-on signal KON as shown in FIG. 8. Accordingly, by the timing pulse Φ which arrives immediately after this cease, the flip-flop FF₇ is reset, and its Q output is rendered to "1" level. Then, due to the next-arriving timing pulse Φ, the flip-flop FF₈ is reset, and its Q output is rendered to "1" level. Accordingly, the AND gate AND₈ gives out a pulse P_OFF (see FIG. 8) as its output. This pulse P_OFF is applied to the flip-flop FF₄ via the OR gate OR₄ so that the flip-flop FF₄ is caused to reset, and its Q output is rendered to "1" level. Whereby, the second decay command signal DY₂ is generated. At the same time therewith, the Q output of the flip-flop FF₄ is inputted to the inverter INV₂, so that the flip-flop FF₃ resets and the generation of the first decay command signal DY₁ ceases. The flip-flop FF₄ is latched to its set state by the actions of the AND gates AND₄ and AND₅, the OR gate OR₄ and the inverter INV₄. When the output D of the subtractor 11 becomes zero at the end of the second decay time (see FIG. 4B), the NOR gate NOR₁ gives out an output of "1" level. Therefore, the flip-flop FF₄ resets, and the generation of the second decay command signal DY₂ ceases. At the same time therewith, the "1" level output of the AND gate AND₅ is applied to the flip-flop FF₁ via the OR gate OR₁, causing this flip-flop FF₁ to be set, and the Q output of this flip-flop FF₁ is rendered to "1" level. Whereupon, the clear command signal CR is generated. At this point of time, the flip-flop FF₂ is in its reset state, and its Q output of "0" level is inputted to the inverter INV₁. Therefore, the flip-flop FF₁ is latched in its set state. When a fresh key-on signal KON arrives and when, accordingly, the flip-flop FF₂ is set, the flip-flop FF₁ is reset, and the generation of the clear command signal CR is caused to cease.

Claims

1. A variable function generator, comprising, in combination:

a first means having a first input terminal for receiving a first input signal,

a second input terminal for receiving a second input signal,

an output terminal for generating an output signal proportional to the difference of said first and second input signals from said output terminal,

a second means for repeatedly transmitting the output signal of said first means at predetermined time intervals,

a third means having a third input terminal connected to the output terminal of said first means through said second means,

a fourth input terminal receiving said second input signal, and

an output terminal for generating a sum signal of the output signal of said first means and said second input signal, the sum signal being used as a renewed second input signal,

a fourth means for providing a plurality of voltage levels and delivering a selected one of said voltage levels as said first input signal.

2. A variable function generator according to claim 1, further comprising a fourth means for setting a voltage level of said first input signal and supplying a first input signal of an arbitrarily selected to the first input terminal of said first means.

3. A variable function generator according to claim 2, wherein said fourth means changes the level of the first input signal upon reception of a trigger signal.

4. A variable function generator according to claim 1, further comprising a fifth means for generating a timing pulse train of a variable time interval and supplying it to said second means for determining said time interval.

5. A variable function generator according to claim 4, wherein said fifth means changes the timing of said timing pulse upon reception of a

trigger signal. 6. A variable function generator according to claim 1, wherein said first means includes variable means for selecting the proportionality constant of the output signal to the difference of said

first and second input signals. 7. A variable function generator according to claim 1, wherein said sum signal (S_b) changes according to the formula

S_b =S_a -(S_a -S_b0)exp(-ct/τ)

where:

S_a is the first input signal level;

S_b0 is the initial value of the second input signal level;

c is a positive constant determining the proportionality constant e^{-c. ;}

τ is the time interval; and

t is time. 8. A variable function generator adapted for use in an electronic musical instrument comprising the combination of claim 1, and a keyboard, the depression in the keyboard initiating the operation of said

combination. 9. A variable function generator adapted for use in an electronic musical instrument comprising the combination of claim 312, a keyboard, and a trigger signal generator means for generating said trigger signal upon key depression and key release in the keyboard and upon coincidence of said first and second input signals.

0. The variable function generator according to claim 9, wherein said combination includes a fifth means for generating a timing pulse train of a variable interval activated by said trigger signal and supplying the

timing pulse to said second means. 11. A variable digital function generator adapted for use in an electronic musical instrument comprising:

a variable digital level setting means for generating a first digital signal of a variable level, the level setting means capable of varying the signal level upon receipt of a trigger signal;

a variable timing pulse generator for generating a timing pulse signal of a variable time interval, the timing pulse generator capable of varying the time interval upon receipt of a trigger signal;

a digital subtractor means receiving said first digital signal and a second digital signal and generating a digital output signal representative of the difference of said two input signals;

a digital multiplier means for multiplying a constant smaller than unity to the digital output signal of said subtractor means;

a gate means for allowing the passage of the output signal of said multiplier means upon receipt of said timing pulse signal;

an adder means for generating a digital sum signal of said second digital signal and the output signal of said multiplier means supplied through said gate means; and

a register means for delivering said sum signal as said second digital signal, thereby the output of said register means generating a digital output signal varying from an initial value to said first digital signal

level in an exponential manner. 12. A variable function generator according to claim 1, wherein said fourth means includes means for changing the selected voltage level upon reception of a trigger signal. 13. A variable function generator according to claim 1, further comprising: a fifth means for generating a timing pulse train of a selectable time interval and supplying it to said second means for determining said predetermined time interval. 14. A variable function generator according to claim 13, wherein said fifth means includes means for changing the selected time interval upon

reception of a trigger signal. 15. An electronic musical instrument comprising:

an envelope generator which is composed of a cyclic digital filer whose transfer characteristic changes with the amount of feedback thereto;

an envelope level memory for storing its input level to control the waveshape level in accordance with the attack, decay, sustain and release of an envelope waveshape; and

an envelope speed memory for storing the filter constant of the digital filter to control the envelope speed in accordance with the attack, decay, sustain and release of the envelope waveshape,

wherein the transfer characteristic of the cyclic digital filter is controlled by changing the amount of feedback thereto with the output data of the envelope speed memory to generate a required envelope waveshape.