Difference between revisions of "ECE 280/Summer 2018/Test 2"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
This page lists the topics covered on the second test for [[ECE 280/Summer 2017|ECE 280 Summer 2017]]. | This page lists the topics covered on the second test for [[ECE 280/Summer 2017|ECE 280 Summer 2017]]. | ||
| − | ==Test II Summer | + | ==Test II Summer 2018 Coverage== |
# Everything on [[ECE_280/Summer 2017/Test_1|Test 1]] | # Everything on [[ECE_280/Summer 2017/Test_1|Test 1]] | ||
| − | # Fourier Series | + | # Fourier Series (Continuous Time only) |
#* Know the synthesis and analysis equations | #* Know the synthesis and analysis equations | ||
#* Be able to set up integrals or summations to determine <math>x(t)</math> or <math>X[k]</math> for periodic signals | #* Be able to set up integrals or summations to determine <math>x(t)</math> or <math>X[k]</math> for periodic signals | ||
#* Know how to find the actual Fourier Series coefficients for periodic signals made up of cos and sin | #* 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 | #* Be able to use the Fourier Series and Fourier Series Property tables | ||
| − | # Fourier Transform | + | # Fourier Transform (Continuous Time and Discrete Time) |
#* Know the synthesis and analysis equations | #* Know the synthesis and analysis equations | ||
#* Be able to set up integrals or summations to determine <math>x(t)</math> or <math>X(j\omega)</math> for signals that have Fourier Transforms | #* Be able to set up integrals or summations to determine <math>x(t)</math> or <math>X(j\omega)</math> for signals that have Fourier Transforms | ||
| + | #* Be able to set up integrals or summations to determine <math>x[n]</math> or <math>X(e^{j\omega})</math> for signals that have Discrete Time Fourier Transforms | ||
#* Be able to use the Fourier Transform and Fourier Transform Property tables | #* 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 | #* 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 <math>\Pi\left(j\omega+a_i\right)</math> where all the <math>a_i</math> are real and unique | + | #** I will '''only''' give you FT having denominators of the form <math>\Pi\left(j\omega+a_i\right)</math> where all the <math>a_i</math> are real and unique or DTFT having denominators of the form <math>\Pi\left(1-\alpha e^{-j\omega}\right)</math> |
# Sampling and Reconstruction | # 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 <math>T_S</math>. | #* 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 <math>T_S</math>. | ||
Latest revision as of 18:00, 7 June 2018
This page lists the topics covered on the second test for ECE 280 Summer 2017.
Test II Summer 2018 Coverage
- Everything on Test 1
- Fourier Series (Continuous Time only)
- 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 (Continuous Time and Discrete Time)
- 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 set up integrals or summations to determine \(x[n]\) or \(X(e^{j\omega})\) for signals that have Discrete Time 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 or DTFT having denominators of the form \(\Pi\left(1-\alpha e^{-j\omega}\right)\)
- 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 and DSB-SC Modulation.
- 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.
- 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
