In filter design, what is the purpose of the Butterworth approximation ?
To achieve a maximally flat response in the passband
To achieve a maximally flat response in the passband option is correct.
The Butterworth magnitude response is defined by \(|H(j\omega)|^2 = \dfrac{1}{1+(\omega/\omega_c)^{2N}}\), where \(N\) is the filter order and \(\omega_c\) the cutoff frequency. The first \(2N-1\) derivatives of \(|H|^2\) vanish at \(\omega=0\), which is the mathematical statement of “maximally flat” behaviour in the passband.
The tradeoff is a comparatively gradual roll-off in the transition band and no ripple anywhere. Equal ripple in the passband and stopband is the Elliptic (Cauer) approximation, ripple only in the stopband is Inverse Chebyshev, and ripple only in the passband is Chebyshev Type I. Minimising phase distortion is the Bessel approximation’s aim. Bandwidth is set by cutoff choice, not by Butterworth shape.
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Important Questions from Mixed Topic (MH-SET)
.................... is a client server application that identifies each host on the internet with a unique user-friendly name.
Every OS has a ................ or .......... which primarily resides in the main memory of the computer to perform some of the basic functions of the OS.
(i) Kernel
(ii) Interface
(iii) Nucleus
(iv) Compiler
Codes:
Which of the following are referred to as low level language?
(i) Machine language
(ii) Assembly language
(iii) High level language
(iv) Natural language
Codes:
Match the following:
List I List II (a) New York Public Library (i) Shelv AR (b) Miami University Augmented Research Group (ii) Smart library (c) Oula University Library (iii) Wolf Walk (d) North Carolina State University (iv) Find the future Codes:
Which part of the QR code represents the encoded data?
