An oscillator by definition is a source (no input) that generates a sinusoid of a certain frequency ω0. Therefore an oscillator is a system whose zero-input response is a sinusoid of the desired frequency. Find the transfer function of a digital oscillator to oscillate at 10 kHz by the methods described in parts a and b. In both methods select T so that there are 10 samples in each cycle of the sinusoid
a. Choose H [z] directly so that its zero-input response is a discrete-time sinusoid of frequency Ω = ωT corresponding to 10 kHz.
b. Choose Ha(s) whose zero-input response is an analog sinusoid of 10 kHz. Now use the impulse invariance method to determine H[z].
c. Show a canonical realization of the oscillator.