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(a) Calculate the transformation matrix used to rotate an image by 45o clockwise about the Zaxis.
(b) How would you use this transformation matrix to achieve the desired rotation?
(c) Use the transformation matrix to rotate the image point (x,y) = (0,1).
A circular loop TV antenna with 0.01 m2 area is in the presence of a uniform -amplitude 300 MHz signal. When oriented for maximum response, the loop develops an emf with a peak value of 20 mV. What is the peak magnitude of B of the incident wave?
Consider an LTI system with impusle response h(t) = e^(-.2t)*(u(t-1)-u(tt-8)) a) plot h(t - tau) for various values, make sure you show how the parameter t influences the position of the curve in the graph. b)Find the output y when the input is x(t) ..
(a) What is the condition for matrix A to have inverse Discuss this in terms of rank, determinant, linear dependence of rows and columns of matrix A, singular or non-singular. (b) Show that if A has inverse then AT also has inverse
The factorial of a nonnegative integer n is written n! (pronounced "n factorial") and is defined as follows: n!= n(n-1)(n-2)(n-3)....1 (for values of n greater than or equal to 1) and n!= 1 (for n=0) for example 5! = 5x4x3x2x1,
Consider the waveform equation: a. What is the frequency of the waveform (in Hz) b. What is the voltage Vx at a time t = 1.5 ms c. What is the voltage Vx at a time t = 3 ms d. What is the voltage Vx at a time t = 4.5 ms
What is the impedance of a resistor R in parallel with a series combination of a capacitor C and an inductor L? Assume angular frequency omega(w).
A signal x(t) can be represented as x(t)=xe(t)+xo(t) where xe(t)=(1/2){x(t)+x(-t)} is the even part, and xo(t)=(1/2){x(t)-x(-t)} is the odd part of the signal. Let x(t) be an energy signal with an energy of 20 Joules. Suppose the even part of x(t) is..
An AC synchronous motor operates at 1200 rpm on a 60 hz, 240 Vrms supply. The supply is changed to 50 hz, 240 Vrms, What is the mechanical rotational velocity when the motor reaches steady state
Design a system using either a flow diagram or pseudo code that will accept a block of data words encoded as specified in Part 1; then check the parity for each data word and for the block. The system should output each of the 8-bit data words.
Suppose that the number of customers entering a department store in a day is a random variable with mean of 50 customers/day. Suppose that the amounts of money spent by each one of these customers are statistically independent.
Describe the phenomenon of aliasing caused by under sampling. How can aliasing be mitigated What are the advantages of digital communication over analog What is quantization noise How can you reduce it
Draw the logic diagram for the 4-bit circuit, using full adders and multiplexers. Determine the arithmetic operation performed for each of the four combinations of S and Cin: 00, 01, 10, and 11.
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