Course contents

• Sinusoidal Signals
• Amplitude, Phase & Frequency
• Complex Exponential Representation (Phasors)
• Spectrum Representation of Signals
• Sinusoids, Harmonics Other Synthesis Examples: e.g., Chirp (FM) Signals  
• Fourier Series: Synthesis & Analysis
• Digital Signals and Sampling    
• Aliasing & Folding  
• Reconstruction from Samples
• Moving Average Filters  
• Finite-Length Impulse Response (FIR)  
• Convolution  
• Linearity & Time-Invariance
• Frequency Response
• Magnitude & Phase Responses
• Lowpass, Highpass & Bandpass Filters
• Z-Transform
• Method for FIR  
• Zeros of the Transfer Function Polynomial  
• Cascading Systems
• Relationship to Frequency ResponseRecursive Filters
• Feedback Difference Equations
• Discretizing Differential Equations
• Impulse Response
• Z-transform for Recursive Filters
• Second-Order (Narrowband) FiltersSpectrum Analysis
• Fourier Transform (Continuous-Time)
• Discrete-Time Fourier Transform
• FFT Algorithm
• Relationship between Continuous-Time and Discrete-Time Frequency Domains
• Short-Time Fourier Analysis & Spectrograms  
• Bandpass Filter Banks

Intended learning outcomes

Course Objectives

As part of this course, students will:

• understand mathematical representation of discrete-time and continuous-time signals
• will be introduced to signal processing and characterization techniques, such as filtering, frequency response, and transforms
• gain laboratory experience in computer-based signal processing.                                     

Course Outcomes

Upon successful completion of this course, students should be able to:

• express signal processing systems in mathematical form
• write MatLab code describing a signal processing system
• analyze signals in terms of their frequency content.
• describe system behavior in terms of frequency content
• describe system behavior in terms of frequency response
• describe system behavior in terms of the Fourier Transform
• analyze mixed analog-digital systems with sampling operations and digital filters
• utilize the z
• transform to analyze discrete-time systems in terms of poles and zeroes
• use complex exponential notation to describe signals and systems
• describe how signal processing is used in applications (e.g., audio and digital image processing).

Course Disposition

No information inserted

Specific prerequisites

Completed upper secondary education including documented proficiency in Swedish corresponding to Swedish B and English corresponding to English A. For students who received/will receive their final school grades after 31 December 2009, there is an additional entry requirement for mathematics as follows: documented proficiency in mathematics corresponding to Mathematics A. Specific requirements corresponding to Physics B and Chemistry A and mathematics corresponding to courses IX1303 and IX1304.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

Signal Processing First, McClellan, Schafer, YoderUpplaga:  Förlag: Pearson Prentice Hall År: ISBN: 0-13-120265-0

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

• LAB1 - Laboratory Work, 3,0 hp, betygsskala: A, B, C, D, E, FX, F
• TEN1 - Examination, 4,5 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Slimane Ben Slimane

Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Offered by

EECS/Intelligent Systems

Main field of study

Technology

Education cycle

First cycle

Add-on studies

No information inserted

Supplementary information

In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.