What are the various properties of bilinear transformation? Warping, prewarping and frequency transformation What is by warping effect or frequency warping? (N-12) What is meant by pre-warping or pre-scaling? (M-10) PART B FIR and IIR filter realization Parallel and cascade forms – Obtain a direct form I realization for the system described by the difference equation given below: y (n) = 0.5 y(n−1) 0.25 y(n−2) + x(n) + 0.4 x(n−1). (10) (M-11) − Obtain the direct form II and parallel form realization for the system given below: y (n) = 0.1 y(n 1 ) + 0.2 y(n 2) + 3 x(n) + 3.6 x(n 1 ) + 0.6 x( n 2). (16) (N-12) − – – – – FIR design : Windowing Techniques a rectangular window technique, design a low pass filter with pass band gain of unity, cutoff frequency of 1000 Hz and working at a sampling frequency of 5 Hz. The length of the impulse response is 7. (16) Determine the frequency response of FIR filter defined by y (n) = 0.25 x(n) + x(n 1) + 0.25 x(n 2 ). – – Calculate the phase delay and group delay. (16) Explain in detail, the design techniques of FIR filters and explain any one technique. (16) IIR design : Analog filter design Butterworth and Chebyshev approximations – For the following specifications, design a Butterworth filter using the impulse variance method. (12) (N-07) Design a Butterworth filter with 2 dB pass band attenuation at a frequency of 20 rad / sec and 10 dB stop band attenuation at 30 rad/sec. (16) Design a Chebyshev filter bilinear transformation for the following specifications
What are the various properties of bilinear transformation? Warping, prewarping and frequency transformation What is by warping effect or frequency warping? (N-12) What is meant by pre-warping or pre-scaling? (M-10) PART B FIR and IIR filter realization – Parallel and cascade forms Obtain a direct form I realization for the system described by the difference equation given below: y (n) = 0.5 y(n−1) − 0.25 y(n−2) + x(n) + 0.4 x(n−1). (10) (M-11) Obtain the direct form II and parallel form realization for the system given below: y (n) = − 0.1 y(n – 1 ) + 0.2 y(n – 2) + 3 x(n) + 3.6 x(n – 1 ) + 0.6 x( n – 2). (16) (N-12) FIR design : Windowing Techniques a rectangular window technique, design a low pass filter with pass band gain of unity, cutoff frequency of 1000 Hz and working at a sampling frequency of 5 Hz. The length of the impulse response is 7. (16) Determine the frequency response of FIR filter defined by y (n) = 0.25 x(n) + x(n – 1) + 0.25 x(n – 2 ). Calculate the phase delay and group delay. (16) Explain in detail, the design techniques of FIR filters and explain any one technique. (16) IIR design : Analog filter design – Butterworth and Chebyshev approximations For the following specifications, design a Butterworth filter using the impulse variance method. (12) (N-07) Design a Butterworth filter with 2 dB pass band attenuation at a frequency of 20 rad / sec and 10 dB stop band attenuation at 30 rad/sec. (16) Design a Chebyshev filter bilinear transformation for the following specifications