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Consider a filter characterized by the following impulse response: h [1, 2, -1, 1] Which of...
Hi This is linear systems and digital signal processing. Please answer this question with clean h...
Hi
This is linear systems and digital signal processing.
Please answer this question with clean handwriting.
Label the answer
n 29 Question 11 of 23 s Moving to another question will save this response. Question 11 1 points Save Answer Consider a fiter characterized by the following impulse response: h-[1.2,-1, 1] Which of the following statements are true about thie the sampling frequency in this application is 8192 Hz. (You may use MATLAB to help you analyze this filter) 1....
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digit...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digital filters. Use appropriate MATLAB expressions to find: a) System Response (H(z) b) Pole-zero diagram c) Amplitude Response d) Phase Response 1. FIR Low-Pass Digital Filter ,n= 0.1 |[d(n) + δ(n-I))-1 h(n) 0, otherwise 2. FIR High-Pass Digital Filter 0, otherwise 3. FIR Band-Pass Digital Filter 0, otherwise 4. FIR Band-Stop Digital Filter , n = 0,2 0, otherwise Note: Your final...
a) The transfer function of an ideal low-pass filter is and its impulse response is where...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
b) When designing a FIR filters, the impulse response of the ideal low-pass filter is usually modified by multiplying i...
b) When designing a FIR filters, the impulse response of the ideal low-pass filter is usually modified by multiplying it by a windowing function such as the Hamming window which is defined, for an odd number N of samples, by: (2n)-(N-I)-ns(N-1) N-12 wlnl 0.54 + 0.46 cos i What are the advantages of windowing with this function compared 2 with a standard rectangular window? ii) Design a 10th Order Hamming windowed FIR low-pass filter with cut- off frequency at 1000...
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff freq...
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the outp...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
Implementing a 3-Band Equaliser
Design and implement a 3-band equaliser using a DSP board or MPLab/CSS. The MATLAB Filter Designer could be used for filter design and graphing subject to the design requirements given below. This is an individual CW 2. Equaliser Primer An n-band equaliser is a device used to correct the frequency response characteristic of a signal processing system. Equalisers can be implemented using digital or analogue filters. The whole bandwidth of the equaliser is divided into n frequency bands, which can...
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of...
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
2. Perform a lowpass prototype transform, find, given the following digital filter frequency values. a. Low...
2. Perform a lowpass prototype transform, find, given the following digital filter frequency values. a. Low pass filter with a cutoff of 750 Hz b. High pass filter with a cutoff of 12.57 rad/s c. Bandpass filter with a lower cutoff of 400 Hz and a higher cutoff 725 Hz d. Bandstop filter with a center frequency of 135.3 rad/s and a bandwidth of 84.74 rad/s
Hi
This is linear systems and digital signal processing.
Please answer this question with clean handwriting.
Label the answer
n 29 Question 11 of 23 s Moving to another question will save this response. Question 11 1 points Save Answer Consider a fiter characterized by the following impulse response: h-[1.2,-1, 1] Which of the following statements are true about thie the sampling frequency in this application is 8192 Hz. (You may use MATLAB to help you analyze this filter) 1....
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
DSP Lab Exercise 9 Given below are the Impulse Response h(n), of the four main types of FIR Digital filters. Use appropriate MATLAB expressions to find: a) System Response (H(z) b) Pole-zero diagram c) Amplitude Response d) Phase Response 1. FIR Low-Pass Digital Filter ,n= 0.1 |[d(n) + δ(n-I))-1 h(n) 0, otherwise 2. FIR High-Pass Digital Filter 0, otherwise 3. FIR Band-Pass Digital Filter 0, otherwise 4. FIR Band-Stop Digital Filter , n = 0,2 0, otherwise Note: Your final...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
b) When designing a FIR filters, the impulse response of the ideal low-pass filter is usually modified by multiplying it by a windowing function such as the Hamming window which is defined, for an odd number N of samples, by: (2n)-(N-I)-ns(N-1) N-12 wlnl 0.54 + 0.46 cos i What are the advantages of windowing with this function compared 2 with a standard rectangular window? ii) Design a 10th Order Hamming windowed FIR low-pass filter with cut- off frequency at 1000...
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
2. Perform a lowpass prototype transform, find, given the following digital filter frequency values. a. Low pass filter with a cutoff of 750 Hz b. High pass filter with a cutoff of 12.57 rad/s c. Bandpass filter with a lower cutoff of 400 Hz and a higher cutoff 725 Hz d. Bandstop filter with a center frequency of 135.3 rad/s and a bandwidth of 84.74 rad/s
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