ECE 280/Spring 2017/Test 2
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This page lists the topics covered on the second test for ECE 280 Spring 2017.
Test II Fall 2013 Coverage
- Everything on Test 1
- Fourier Series
- Know the synthesis and analysis equations
- Be able to set up integrals or summations to determine \(x(t)\) or \(X[k]\) for periodic signals
- Know how to find the actual Fourier Series coefficients for periodic signals made up of cos and sin
- Be able to use the Fourier Series and Fourier Series Property tables
- Fourier Transform
- Know the synthesis and analysis equations
- Be able to set up integrals or summations to determine \(x(t)\) or \(X(j\omega)\) for signals that have Fourier Transforms
- Be able to use the Fourier Transform and Fourier Transform Property tables
- Be able to use partial fraction expansion as an interim step of inverse Fourier Transforms
- I will only give you FT having denominators of the form \(\Pi\left(j\omega+a_i\right)\) where all the \(a_i\) are real and unique.
- Sampling and Reconstruction
- Know, understand, and be able to reproduce the process of sampling with an impulse train of unit amplitude at a given sampling rate with sampling period \(T_S\).
- Understand the necessity for a band-limited input signal and the relationship between the band-limit and the sampling rate required to make sure aliasing does not happen.
- Be able to sketch the spectra for signals as they pass through block diagrams - to include filters as well as multiplication by periodic signals; be able to use these sketches to determine values or limits on values for samplers and reconstruction systems.
- Communication Systems
- Know, understand, and be able to reproduce the basic block diagrams for Full AM (Fig. 5.3) and DSB-SC Modulation (Fig. 5.12 (a)).
- Know, understand, and be able to reproduce the circuit for envelope detection. You will not be required to determine values for the circuit elements.
- Know, understand, and be able to reproduce the basic block diagram for a demodulator using coherent detection (Fig. 5.12 (b)).
- For Full AM and DSB-SC, and given system parameters and particular input signals, be able to sketch the frequency domain of transmitted and reconstructed signals.
- If given a description of block diagram showing a system formed by a combination of filters, product oscillators, summation blocks, and multiplication blocks, be able to graphically and (if reasonably) analytically determine the frequency spectrum at each stage as a signal passes through the system.
Equation Sheet
The following equation sheet will be provided with the test. Equation Sheet
Specifically Not On The Test
- Maple
- MATLAB
- Laplace Transforms