Although the variable and shunt capacitors C4 and C5 are set up to transmit from 88 to 108Mhz, the transmitter only has an effective tuning range 6 MHz (30 out of the 100 channels) this is due in part to the feedback capacitor C6 being at the right impedance for positive feedback to occur.
According to the Barkhausen criteria for sine wave oscillation (section 3.5 The Oscillator) of the tank the amplifier (common base, section 2.10.3 Common Base)
and feedback must has a loop gain of unity. Taking 100MHz as the resonant frequency of the tank
L = 0.1mH C4 + C5 = 25.33pF (theoretical value),
The second Barkhausen Criterion states that in order for sustained oscillation to happen the phase shift through the network at the resonant frequency will have to be zero, L1, C4 and C5 will yield 0o at the resonant frequency. There is a – 90o phase shift through C6. The emitter–collector channel has an interesting property when it comes to current and voltage, the current entering the emitter leads the voltage across the collector, hence a + 90o phase shift. Putting the capacitor and transistor together there will be a 0o between the input and output nodes.
R1 | 10KW | Carbon Film | Bias for the Electret microphone |
R2 | 1MW | Carbon Film | DC bias for the Base of Q1 |
R3 | 100KW | Carbon Film | DC bias for the Base of Q1 |
R4 | 150W | Carbon Film | Sets the DC & AC gain of Q1 |
R5 | 10KW | Carbon Film | Sets the DC & AC gain of Q1 |
R6 | 10KW | Carbon Film | Forms a HPF with C2 (pre-emphasis) |
R7 | 1KW | Carbon Film | Sets the gain for the oscillator |
C1 | 0.1mF | Non-polarised tantalum | Audio coupling capacitor |
C2 | 0.1mF | Non-polarised tantalum | Forms HPF with R6 |
C3 | 10nF | Ceramic | AC grounds the base of Q2 |
C4 | 1 - 12pF | Silver Mica | Tuning cap for Multichannel |
C5 | 20pF | Ceramic | Shunt capacitor for tuning |
C6 | 5.6pF | Ceramic | Feedback for oscillation |
L1 | 0.1mH | Toko |
Q1 & Q2 | 2N3904 | T092 |
The PCB design sank 8.37mA at 9v dc battery and yielded an output power of 8mW. Type of power source used was a Duracell Alkaline Manganese Dioxide 9volt PP3 battery. The duration for effective transmission is 14 Hours of continuous use.
The PCB design above was designed using easy-pc a dos based PCB design package. the above figures show the under side of the double sided board, most of the underside is devoted to a ground plane, the topside (component side) is totally devoted to a ground plane. A foil isn't needed for the component side, all that needs to be done is drill the under side and use a track cutter on the component side to enlarge the spacing from hole edge to the ground plane. The secnd figure above displays where the components fit in on the board.
Note: the capacitor C4 is mounted on to the PCB on it's side to allow for access to the tuning circuitry. Also the RF section (between C3 and just before the output is coated with household cling film and then wrapped with aluminium cooking foil. This will prevent any stray signal feedback from interfering with modulation.
The PCB board slots into a handheld instrumentation case 90*65*25(obtained from RS), a total of 4 holes were drilled, two on top (for the miniature electret and a 3.5mm socket for antenna), one at the side (for a switch) and one in the front (for tuning the capacitor).
Q can be calculated as 12, XL as 370 and XC as 373. At a frequency of 100MHz, XL is equal to 0.589mH and XC is equal to 4.2pF. The network's bandwidth can be calculated as break frequency over quality factor, which is calculated as 8.3Mhz. This is quite a sophisticated way of matching the load, but it does have it's downside, especially when the transmitter is multi-channelled, in that the frequency is not a constant. Taking the frequency as 106MHz, the inductance will have to be 0.55mH and the capacitance as 4.02pF. So choosing an inductance of 0.6mH and a capacitance of 4.1pF could possibly match the transmitter with the antenna.
The method chosen for matching the impedance of the antenna was the resistor placed between the output node and the antenna. This yielded a respectable range of 80 feet in a household environment and about 50 feet inside a lab.
An extension to the antenna was discussed and implemented using a thin coaxial cable with it's outer conductor grounded to the board, which tended to change the centre frequency of the transmitter.