Question

The spectrum of infinite series of rectangular pulse is given by P I

​(f)=[infinity]
∑
ᵏ⁼−[infinity] sinc(kPRFτ)δ(f−kPRF) Sketch the plot of ∣P I (f)∣ from − τ/3 to τ/3 if PRF= 4τ/1
​
.

Answer 1

The given equation represents the spectrum of an infinite series of rectangular pulses. To sketch the plot of |PI(f)|, we need to evaluate the sinc function at different values of f.

Step-by-step explanation:

The given equation for the spectrum of an infinite series of rectangular pulses, PI(f) = ∑k=-∞∞ sinc(kPRFτ)δ(f−kPRF), represents the Fourier transform of the rectangular pulse function. The function sinc(x) is defined as sin(x)/x. In this case, the pulse width τ is related to the pulse repetition frequency PRF by τ = 1 / PRF.

To sketch the plot of |PI(f)| from -τ/3 to τ/3, we need to evaluate the sinc function at different values of f. Since PRF = 4τ/1, we can substitute this value into the equation to simplify it.