Signals and Systems (Lowpass Filter Frequency Response)

Please see attachment for description of lowpass filter frequency response problems.

MATLAB Fourier Analysis of System

Use the contfft program to identify the frequency response of a system from its inputs and outputs. The program contfft is shown below.Save it as contfft.m in your current MATLAB directory as denoted at the top of the MATLAB window. (a). Generate a random input signal x(t) in MATLAB by using the command rand. In particular, let x = rand(1000,1)-0.5. This will create a 1000 point vector of random numbers that represents the samples of x(t). Assume that the sampling period was T = 0.1, and create a corresponding time vector. (b). Use MATLAB to determine a corresponding output y(t) for a particular system. In particular, type the command y=conv(exp(-t),x); to generate y(t). The array... click for more

MATLAB Signals - Conv and Transfer Function of System

1. A discrete-time system has the following unit-pulse response: h[n] = 0.5^n - 0.25^n for n >= 0 Correspondingly, the following difference equation describes the behavior of the system: y[n + 2] - 0.75y[n +1] + 0.125y[n] = 0.25x[n +1] a. Use the MATLAB command conv to calculate the response of the system to a unit step input, x[n]=u[n]. Consider 0 <= n <= 20 . Show what you type into the MATLAB command window. Also, submit a plot of the output. Be sure to label your axes. 2. A linear time-invariant continuous-time system has the impulse response below: h(t) =[cos 2t + 4 sin 2t]u(t) (a). Determine the transfer function H(s) of the system. (b). Plot the system impulse respo... click for more

Analyze a given transfer function by using MATLAB

Consider the system given by the following transfer function: H(s)= (242.5(s+8)/((s+2)[((s+4)^2)+81](s+10)) a. Identify the poles and zeros of the system. You may use MATLAB to help you with this if you would like. b. Is the system stable? Why or why not? c. Determine the steady-state value for the step response. d. Use Simulink to simulate the step response. Use the 'Zero-Pole' continuous model for the system with a gain of 242.5. For the sink, you can use the step function provided. Be sure to submit your model along with a plot of the output either from the scope or the simout variables (be sure to select Array for the simout Save Format). e. Is the steady-state value from the sim... click for more

MATLAB Signal Analysis for Stock Closing Price

%% see attached file for EWMA filter definition and closing price for QQQQ csv file%% Using the closing prices for QQQQ for the 50 business day period from March 1, 2004, up to May 10 2004, a. For the 40 day time period 11 < n < 50, compute the difference D[n]=y1[n] - y2[n] where y1[n] is the response of the 11 day EWMA filter with b=0.7. b. Suppose that the stock is bought at the close on Day n when the value of D[n] rises above zero, and then the stock is sold at the close on day n when D[n] falls below zero. Determine the days when there is a buy and the days when there is a sell. c. For each buy/sell signal found in part (b.), determine the loss or gain per share. d. us... click for more