Team Theremin1 Analog Theremin Using Vacuum Tubes and Frequency Detection via Band-pass Filters Matt Britt, Ryan Adams, William Findley Jr., Yuri Yelizarov, James Lewis Georgia Institute of Technology School of Electrical and Computer Engineering March 4, 2008 and March 6, 2008

Team Theremin2 Analog Theremin and Frequency Detector The Theremin is an electronic musical instrument controlled by interaction with volume and pitch antennae. The frequency detector is designed to assist new players in playing on the musical scale. The target customers are musicians. The projected cost of the Theremin is $550. The projected cost of the frequency detector is $145.

Team Theremin3 Theremin: Technical Objectives Designed using vacuum tubes in order to suit the preference of musicians. Safe to use. Dynamic pitch and volume ranges to provide sufficient playability. Tuning controls to allow adjustments in player stance. Compatible with standard audio equipment. Finished case design in a form suitable for a final product.

Team Theremin4 Theremin: Block Diagram

Team Theremin5 Theremin: Technical Specifications Output of the pitch circuit will cover a 30 Hz to 1 kHz range of sound. Volume circuit will produce a control voltage for the voltage-controlled amplifier. Power supply circuit will provide two power rails: 6.3 VAC at 2.5 A and 75 VDC at 10 mA. The output will use a standard audio equipment line-out, max 1.4 V rms.

Team Theremin6 Pitch Control Overview RF signals generated by Colpitts oscillators at ~500 kHz Mixer is a triode biased in non-linear region Low-pass filter is a two-pole RC cascade

Team Theremin7 Pitch Control Circuit Pitch Reference Oscillator Pitch Variable Oscillator Mixer Low-pass Filter

Team Theremin8 Pitch Control Performance First versions –High harmonic output –Unable to produce tones below 500 Hz –Smaller effective pitch range Current version –Near-sinusoidal output from oscillators –Able to produce low frequencies –Strong RF signal difficult to isolate

Team Theremin9 Volume Control Overview Uses another RF oscillator at 480 kHz High-Q band-pass filter using ceramic resonator Peak detector circuit via level shifter and rectifier Voltage controlled amplifier in form of a differential amplifier

Team Theremin10 Theremin Design Approach Research possible circuits Hand design using published and simulated I-V curves Simulation using phenomenological triode SPICE model –Imperfect –Model better for “high” plate current Published plate characteristics for 12AU7A twin triode. Circa Linear amplifier Nonlinear mixer

Team Theremin11 Frequency Detector Overview Objective: –Indicate to the user which output is being used by the Theremin. Problem: –The Theremin produces a wide range, continuous signal. –With most instruments, a user knows exactly what pitch is produced. –The Theremin relies on the musician’s ear and muscle memory. Solution: –An external system that lights up an LED corresponding to an output frequency produced by the Theremin. –An LED is provided for each pitch of a chromatic scale.

Team Theremin12 Frequency Detector Block Diagram

Team Theremin13 Frequency Detector Building Blocks Gain = (Z 1 + Z 2 )/Z 1 Increasing the impedance Z 2 or decreasing the impedance Z 1 will increase the gain. Increasing the impedance Z 1 or decreasing the impedance Z 2 will decrease the gain.

Team Theremin14 Frequency Detector Notch Filter Simulation

Team Theremin15 Frequency Detector: Combining Elements R 1 = 10 kΩ R L = 1 kΩ L 1 = 3 mH C 1 = 43.6 µF Op Amp Gain: 1000 V/V Input Signal: 1 V rms Signal Range: 400 Hz – 500 Hz Number of Points: 500

Team Theremin16 Frequency Detector Simulation

Team Theremin17 Demonstration Plan Measure DC voltage of the antennae, should be less than a few millivolts. Demonstrate pitch range, straight antenna. –Keep volume hand steady and change position of pitch hand. Demonstrate volume range, loop antenna. –Keep pitch hand steady and change position of volume hand.

Team Theremin18 Problems: RF Propagation RF propagation issue: –High power, 5 V pp, signal coming out of the oscillators may cause coupling and propagation along power rails. Alleviation: –Careful routing of traces and wiring on PCB and placement of decoupling capacitors. –Reduced signal on DC power rail from 1 V to 10 mV.

Team Theremin19 Problems: Mixer Design Nonlinear design issue: –Nonlinear mixer behavior is difficult to predict. –The practical results differ greatly from simulation. Alleviation: –Trial and error used to get current result. –A curve tracer may be used later.

Team Theremin20 Project Schedule TaskOwnerStatus Evaluation and ordering of tubesMatt BrittCompleted Building prototype boardRyan AdamsCompleted Oscillator design and testingMatt BrittCompleted Antenna designWill FindleyCompleted Frequency detector designYuri YelizarovIn progress Mixer designMatt BrittIn progress Voltage controlled amplifier design and testing James LewisIn progress Power supply design and testingJames LewisNot started PCB board design and layoutWill FindleyNot started Final constructionRyan AdamsNot started

Team Theremin21 Theremin Cost Analysis Projected sales volume of 10,000 over a four year period. Three group members working on Theremin portion of project. The cost of each Theremin unit is $550. DescriptionUnit CostOverall CostType Development Personnel$36,000Non-recurring Development Capital Equipment $10,000Non-recurring Development Overhead 200 % $92,000Non-recurring Total Development Cost$138,000 Parts$200$2,000,000Recurring Production$50$100,000Recurring Market and Sales$100,000Recurring Total Recurring Cost$2,200,000 Recurring Cost Overhead, 150%$3,300,000 Adjusted Recurring Cost$5,500,000

Team Theremin22 Frequency Detector Cost Analysis Projected sales volume of 20,000 over a four year period. Two group members working on frequency detector portion of project. The cost of each frequency detector unit is $145. DescriptionUnit CostOverall CostType Development Personnel$24,000Non-recurring Development Capital Equipment $10,000Non-recurring Development Overhead 200 % $68,000Non-recurring Total Development Cost$102,000 Parts$50$1,000,000Recurring Production$30$60,000Recurring Market and Sales$100,000Recurring Total Recurring Cost$1,160,000 Recurring Cost Overhead, 150%$1,740,000 Adjusted Recurring Cost$2,900,000

Team Theremin23 Current Status Circuit built on tube “breadboard”. Pitch control circuit works up to the low- pass filter. Band-pass filter, for volume control circuit, is designed. Antennae material is decided on.

Team Theremin24 Questions?