tutorial 5
DESCRIPTION
assignmentTRANSCRIPT
Tutorial # 5 DSP Batch-1
Questions 1. Windowing Method
a) Using a triangular window technique design a lowpass filter for the following
specification
Hd (ejω
) =
0 | | /2;0
2 / | | 2 / ; e -j5
b) Using a hanning window technique design a bandpass filter for the following specification
Hd (ejω
) =
| | /2;0
4/ | | 0;02 / | | 4 / ; e -j5
2. Windowing Method
a) Using a rectangular window technique design a lowpass filter with passband gain of unity,
cutoff frequency of 1000Hz and working at a sampling frequency of 5KHz.The length of
the impulse response should be 7.
b) Design a highpass filter using Hamming window, with a cutoff frequency of 1.2 rad/sec
and N=9.
3. Frequency Sampling Method
c) A HPF has the desired response as given below
Hd (ejω
) =
0 | | /2;0
2 / | | ; e
2
1j-
N
Determine the filter coefficients h(n) for N = 7 using frequency sampling Techniques.
d) Determine the coefficients of a linear phase FIR filter of the length N=15 has symmetric
unit sample response and a frequency response that satisfies the conditions
7,6,5,4;0
3,2,1,0;1
15
2
kfor
kforkH
4. Frequency Sampling Method
e) Using frequency sampling method, design a bandpass filter with the following
specifications
Sampling frequency F=8000 Hz
Cut off frequencies fc1 = 1000Hz
fc2 = 3000Hz
Determine the filter coefficients for N=7.
f) Use frequency sampling method to design a FIR LPF with c =4
, for N=15.