Question

Which of the following is the frequency response of an ideal differentiator, Hd(ω)?

(a) -jω ; -π ≤ ω ≤ π

(b) -jω ; 0 ≤ ω ≤ π

(c) jω ; 0 ≤ ω ≤ π

(d) jω ; -π ≤ ω ≤ π

The question was asked in a national level competition.

Asked question is from Design of FIR Differentiators in division Digital Filters Design of Digital Signal Processing

Answer 1

Right option is (d) jω ; -π ≤ ω ≤ π

Explanation: An ideal differentiator is defined as one that has the frequency response

Hd(ω)= jω ; -π ≤ ω ≤ π.