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O 0.5 Question 10 1 pts Consider a continuous-time linear system with transfer function (). To...
O 0.5 Question 10 1 pts Consider a continuous-time linear system with transfer function (). To design an equivalent digital filter with sampling period T and transfer function H(z) using the "frequency domain approach" from our class, we replace all values of s with: Oz OKT
Answer the following questions Q1. The image digitisation process consists of, in general, three components to convert...
Answer the following questions Q1. The image digitisation process consists of, in general, three components to convert the continuous signal into digital form, including sampling (or discretisation in time/space), quantization (discretisation of amplitude) and coding (generation of binary code for each quantised level) a. Name the major distortions associated with the above image digitisation process [2 marks] Name the areas of principal applications (or the basic classes of problems) which are covered by image processing. b. Discuss the main issues...
Give the transfer function of the digital filter with impulse response; h(n) = 0.7n u(n) +...
Give the transfer function of the digital filter with impulse response; h(n) = 0.7n u(n) + 0.7(n-1) u(n-1)
Q.6 (a) (4 pts) A Butterworth filter has been designed with 22. = 0.578 and N=3....
Q.6 (a) (4 pts) A Butterworth filter has been designed with 22. = 0.578 and N=3. Draw the locations of the poles of its magnitude squared function H(s)H(-s). (b) (2 pts) What is value of H.(192) at cutoff frequency 2. for a butterworth filter. (c) (3 pts) From the magnitude squared function in part (a) above, find an expression for H(s), the transfer function of the required analog filter. (d) (2 pts) Give the number of poles for the Chebyshev...
A digital filter is characterized by the following recursive relation, where x(n) and y(n)
A digital filter is characterized by the following recursive relation, where x(n) and y(n) are the input and output samples at the nth sampling instant. The sampling frequency is 100 Hz.y(n) = 0.8 y(n-1) – 0.64 y(n-2) + x(n) – x(n-1) + x(n-2) Find the poles and zeros of the discrete time transfer function of the filter. Hencededuce and sketch the magnitude response characteristic of the filter from f =0 to f = infinity. Mark the values at f =0,...
Part 1 (Calculation): The Z-transform (ZT) converts a discrete time-domain signal, which is a sequence of...
Part 1 (Calculation): The Z-transform (ZT) converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It is the equivalent of the Laplace transform for discrete systems. The one-sided ZT, used for causal signals and systems, is defined as follows: Consider the digital system (filter) described by the input/output difference equation and z-domain transfer function Hz: yn-0.88 yn-1=0.52 xn-0.4 xn-1 Hzz=Y(z)X(z)=0.52-0.4 z-11-0.88 z-1=0.52 z-0.4z-0.88 Assuming a unit step function input, i.e.,...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
Using matlab to design H(z) as a 6th order Butterworth filter with bandedges of 0.3 and...
Using matlab to design H(z) as a 6th order Butterworth filter with bandedges of 0.3 and 0.5. Plot the frequency response of the above filter. Use the quantization function below to quantize the coefficients of the filter to 8 bits, and plot the frequency response. Implement H(z) in cascade form and quantize the coefficients to 8 bits, then plot the frequency response of the resulting filter. Compare the two approaches of implementing a filter and the effects of quantization on...
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is give...
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please determine the transfer function of a 2nd-order, high-pass Butterworth filter with cut-in frequency equal to 6 kHz B. At what frequency is the gain of this filter -3 dB? -30dB?
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please...
Problem (1) – 6 pts. Consider the circuit below with o=10 rad/sec: 10 mF 12 cos...
Problem (1) – 6 pts. Consider the circuit below with o=10 rad/sec: 10 mF 12 cos w V -о а 2 sin et A 1012 H ell 200 оь a) Find the Thevenin equivalent of the circuit in the frequency domain to the left of terminals a-b. Use Mesh Analysis to obtain V (No other method will be accepted.) Use the Nodal Analysis to obtain Z (No other method will be accepted.) b) Find the Norton equivalent of the given...
O 0.5 Question 10 1 pts Consider a continuous-time linear system with transfer function (). To design an equivalent digital filter with sampling period T and transfer function H(z) using the "frequency domain approach" from our class, we replace all values of s with: Oz OKT
Answer the following questions Q1. The image digitisation process consists of, in general, three components to convert the continuous signal into digital form, including sampling (or discretisation in time/space), quantization (discretisation of amplitude) and coding (generation of binary code for each quantised level) a. Name the major distortions associated with the above image digitisation process [2 marks] Name the areas of principal applications (or the basic classes of problems) which are covered by image processing. b. Discuss the main issues...
Q.6 (a) (4 pts) A Butterworth filter has been designed with 22. = 0.578 and N=3. Draw the locations of the poles of its magnitude squared function H(s)H(-s). (b) (2 pts) What is value of H.(192) at cutoff frequency 2. for a butterworth filter. (c) (3 pts) From the magnitude squared function in part (a) above, find an expression for H(s), the transfer function of the required analog filter. (d) (2 pts) Give the number of poles for the Chebyshev...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
Using matlab to design H(z) as a 6th order Butterworth filter with bandedges of 0.3 and 0.5. Plot the frequency response of the above filter. Use the quantization function below to quantize the coefficients of the filter to 8 bits, and plot the frequency response. Implement H(z) in cascade form and quantize the coefficients to 8 bits, then plot the frequency response of the resulting filter. Compare the two approaches of implementing a filter and the effects of quantization on...
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please determine the transfer function of a 2nd-order, high-pass Butterworth filter with cut-in frequency equal to 6 kHz B. At what frequency is the gain of this filter -3 dB? -30dB?
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please...
Problem (1) – 6 pts. Consider the circuit below with o=10 rad/sec: 10 mF 12 cos w V -о а 2 sin et A 1012 H ell 200 оь a) Find the Thevenin equivalent of the circuit in the frequency domain to the left of terminals a-b. Use Mesh Analysis to obtain V (No other method will be accepted.) Use the Nodal Analysis to obtain Z (No other method will be accepted.) b) Find the Norton equivalent of the given...
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