Overview
Creating a Carrier Wave with a Voltage Controlled Oscillator
In telecommunications the carrier wave is a waveform (usually sinusoidal) that is modulated by an input signal to transfer information. The carrier wave is usually a very high frequency as it needs to be faster than the input signal. For example, when listening to a radio you must tune the dail to a "station". This "station" is actually the center frequency of the waveform that is carrying the music/voices/etc (eg. 91.5 The Beat broadcasts at 91.5MHz). This is the carrier frequency. To create this carrier wave and examine how it can send a signal we will use a Voltage Controlled Oscillator (VCO).
VCOs are electronic oscillators whose output frequency is linearly related to the control voltage (f = Ko*V, where Ko is a constant). If the phase of the VCO output square wave is considered as the output variable, the VCO can be modeled as an integrator (I ?????? = Ko*V/s).
Before adjusting the output frequency using voltage we must first determine how to manipulate the circuit to give us our primary carrier frequency. Similar to most multivibrators, the carrier frequency is set by the timing capacitor and timing resistor.
The XR-2207 is composed of two primary function blocks (Figure 1 of the datasheet). First we will look at the top portion, the voltage controlled oscillator (VCO). It has two outputs, Square Wave Output (SWO) and Triangle Wave Output (TWO), which we will discuss and compare. The second block is the binary keying inputs as shown at the bottom of Figure 1 of the datasheet. The binary inputs are used to select certain resistors to modify the frequency output. The XR-2207 can be configured for frequency sweep operation, frequency shift keying (FSK) and for duty cycle.
Objectives
Setup
Set up your circuit according to prelab specifications
number 1.
Datasheet:
XR2207
[Copyright 1975 EXAR Corporation.
Datasheet June 1997]
Exercise
Demonstrate and explain your results to the lab instructor.
Timing
Resistors and capacitors are used together to determine the frequency of an oscillator. Capacitors are used in timing circuits because of the charging properties that it has. Depending on how long it takes for the capacitor to fill with charge will vary the frequency of the pulse you are creating.
Equation 1: Frequency
f1 = 1/( Ct R3 )
Demonstrate and explain your results to the lab instructor.
Frequency Shift Keying (FSK)
Frequency shift keying is a process that varies the frequency of a carrier signal. Both the amplitude and phase remain constant during this process. The most basic form of FSK is Binary Frequency Shift Keying. BFSK uses two discrete frequencies to transmit 0s ("spaces") and 1s ("marks"). BFSK can be used to transmit a 2 bit binary number. This would result a combination of marks and spaces. In this case we should see four different frequencies as our output for each binary number that is input through pins 8 and 9. Each of the frequencies can be calculated using the formulas below.
Frequency equations:
f1 = 1/( Ct R3 )
Δf1 = 1/( Ct R4 )
f2 = 1/( Ct R2 )
Δf2 = 1/( Ct R1 )
Demonstrate and explain your results to the lab instructor.