Phase

How to efficiently control an FIR's magnitude response by altering its phase spectrum

How to efficiently control an FIR's magnitude response by altering its phase spectrum
  1. How do you draw a magnitude and phase spectrum of a Fourier transform?
  2. What is its effect on magnitude and phase response?
  3. What is meant by phase spectrum and magnitude spectrum give comparison?
  4. How do you find the magnitude and phase response?

How do you draw a magnitude and phase spectrum of a Fourier transform?

The exponential Fourier series representation of a periodic function x(t) has amplitude coefficients Cn which are complex and can be represented by magnitude and phase. Hence, we can plot the amplitude spectrum (|Cn| versus ω) and the phase spectrum (∠Cnversusω).

What is its effect on magnitude and phase response?

Answer. Effect compresses the magnitude and phase response. This effect is called warping effect. Pre-warp our desired digital frequency and substitute that into the transformed digital filter function.

What is meant by phase spectrum and magnitude spectrum give comparison?

The magnitude spectrum tells you how strong are the harmonics in a image and the phase spectrum tells where this harmonic lies in space.

How do you find the magnitude and phase response?

To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately. To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.

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