Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

1) Use MATLAB and design following FIR filters. Plot their magnitude and phase responses. Plot their impulse and unit responses. On your HW answer sheet, draw out the filter block diagram.

a) High-pass filter, order=8, fs=20 kHz, cutoff frequency = 5KHz.

b) Band-stop filter, order 14, fs = 20 kHz, cutoff frequencies between 3 kHz to 5.5 kHz.

c) An 8th order, type 1, low-pass filter, a cutoff frequency of 8 Hz for a signal acquired using 64Hz sampling rate. Use the window method with a hamming window.

d) Filter to be applied to an ECG acquired at 240Hz sampling frequency. The filter must have a band-pass betweeen 0-40Hz and a stop-band 60-120Hz. The band-pass ripple is 6dB and the stop-band attenuation must be at least 20dB.


2)

450_fir fillters.jpg
a)  prepare difference equation, transfer function. What type of filter is this?

b)  If x(n) = [0, 0.1, 0.4, 0.5, 0.2], what is the output y(n) of the system?

c)  What is the impulse response of the system?

d)  Using MATLAB, generate frequency and phase responses.

3)  If a linear system is described by: y[n] = 0.5*y[n-1]+x[n]-x[n-1], find the first 4 points of its impulse and step responses. (Hint: step response is the integral i.e. running sum, of the impulse.) Draw the pole-zero plot.

4) Draw the z-plane pole-zero plots for the filters:

a) H (z) = 1+2z-1=z-2/1-z-2

b) H(z) = 1+z-2/1+0.77z-2
 
Comment on the stability of each filter. 
 
5) A second order filter has poles at ½  ±  j ∗½∗ √3 and zeros at ±1.  Find the difference equation (time domain description of the system). Find and plot the impulse response of the system.
 
6) What is the transfer function H(z) of a digital filter with the difference equation y(nT – 2T) = y(nT – T) + x(nT – T) + x(nT – 4T) + x(nT – 10T)? Where are the poles and zeros located? Do you think this filter is stable or unstable? How would you find the frequency response of this filter (don’t need to solve, just show the steps)? Now using MATLAB, make the frequency and phase plots. Use MATLAB to draw pole-zero plots.
 
7) A filter operating at a sampling frequency of 1000 samples/s has a pole at z = 1 and a zero at z = 2. What is the magnitude of its amplitude response at 500 Hz?
 
8) Draw the block diagram of a filter that has the difference equation: 
y(nT) = y(nT – T) + y(nT – 2T) + x(nT) + x(nT – T)

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M9820

Have any Question? 


Related Questions in Electrical & Electronics

Question 1consider the following wireless receiver chain

Question 1: Consider the following wireless receiver chain consisting of a low noise amplifier (LNA), bandpass filter and mixer, as depicted below. The LNA receives its input signal from an antenna. a) If the input noise ...

1 what is the significance of a nonzero net right-lateral

1. What is the significance of a nonzero net right-lateral differential of and normal to the z-direction at a point in space? 2. If a pair of E and B at a point satisfies Faraday's law in differential form, does it neces ...

1 what is the criterion for a material to be a good

1. What is the criterion for a material to be a good conductor? 2. Give two examples of materials that behave as good conductors for frequencies of up to several gigahertz. 3. What is skin effect? Discuss skin depth, giv ...

1 discuss the duality between the radiation fields of a

1. Discuss the duality between the radiation fields of a small circular loop antenna with those of a Hertzian dipole at the center of the loop and aligned with its axis. 2. Compare the radiation resistance and directivit ...

An infinite plane sheet lying in the plane carries a

An infinite plane sheet lying in the plane carries a current of nonuniform density Find the magnetic field intensities adjacent to the current sheet and on either side of it at (a) the point (0, 1, 0) and (b) the point ( ...

1 state gauss law for the electric field2 how is volume

1. State Gauss' law for the electric field. 2. How is volume charge density defined? 3. State the law of conservation of charge. 4. How is Gauss' law for the electric field derived from Ampere's circuital law?

A liquid of density rho flows through a sluice gate as

A liquid of density ρ flows through a sluice gate as shown. The upstream and downstream flows are uniform and parallel, so that the pressure variations at stations 1 and 2 may be considered hydrostatic. (a) Determine the ...

1 what is meant by the dominant mode why are waveguides

1. What is meant by the dominant mode? Why are waveguides designed so that they propagate only the dominant mode? 2. Why is the dimension b of a rectangular waveguide generally chosen to be less than or equal to one-half ...

In a switch using the token bucket algorithm tokens are

In a switch using the token bucket algorithm, tokens are added to the bucket at a rate of r = 5 tokens/second. The capacity of the token bucket is c = 10. The switch has a buffer that can hold only eight packets (for the ...

Figure 319 in the text shows that des creates 16 different

Figure 31.9 in the text shows that DES creates 16 different 48-bit keys, one for each round. Why do we need 16 different keys? Why can't we use the same key in each round?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen