520.435 digital signal processing · courtesy, dsp for matlab and labview, vol. 1, page 3, edited...

Hassan Mohy-ud-Din

Course Pagehttp://cyphynets.lums.edu.pk/index.php/ECE_520.435_-_DSP_for_MATLAB%2C_Fall_2010

My Webpagehttp://cyphynets.lums.edu.pk/index.php/Hassan_Mohy-ud-Din

520.435 Digital Signal Processing

>> ‘Today’s Agenda’ ‘Overview of DSP System’ ‘Time , Frequency Picture’ ‘Discrete Signals and Concepts ‘Discrete Sequences’ ‘Delta, Unit Step, Ramp, Sine, Cosine’ ‘Exponential, Periodic, Harmonic Sequences’ ‘Folded Sequences’ ‘Even-Odd Decompositions’

Digital Signal Processing System Block Diagram

Courtesy, DSP for MATLAB and LabView, Vol. 1, Page 3, edited by José Moura

Time-Frequency Representations and Analysis: The Uncertainty Principle

Discrete Time Signals and Concepts

Unit Impulse (Dirac Delta) Function

(Kronecker Delta Function in Discrete Domain)

Unit Step Function(Heaviside Function)

Unit Ramp Function

Sine, Cosine and Exponential Sequences

‘f=Frequency’, ‘T=Sampling Time’, ‘n=Sample Index’, ‘k=# of Cycles’, ‘N=Sequence Length’

Real Exponential Sequences

Periodic Sequences

Harmonic Sequences

Courtesy, DSP for MATLAB and LabView, Vol. 1, Page 18, edited by José Moura

Square Wave composed of

Sinusoidal Harmonics

Folded Sequence

О О О Nothing but Time Reversal

Even-Odd Decompositions

QUESTIONS