EECE 301 Signals & Systems Prof. Mark Fowler
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1 EECE 301 s & Sysems Prof. Mark Fowler Noe Se #1 Wha is s & Sysems all abou??? 1/9
2 Do All EE s & CoE s Design Circuis? No!!!! Someone has o figure ou wha funcion hose circuis need o do Someone also needs o figure ou he algorihms needed (i.e., mahemaical compuer processing) Someone also needs o figure ou wha he whole sysem needs o do So los of EEs/CoEs don design circuis a all Wha hey do insead is design he sysems & algorihms ha are needed o accomplish cerain needed asks Rely Heavily on Mahemaical Models 2/9
3 s & Sysems Because mos sysems are driven by signals EEs & CoEs sudy wha is called s & Sysems = a ime-varying volage (or oher quaniy) ha generally carries some informaion The job of he Sysem is ofen o exrac, modify, ransform, or manipulae ha carried informaion So a big par of s & Sysems is using mah models o see wha a sysem does o a signal v in () Volage Physical Sysem v ou () Audio Amplifier Elecronics Inpu x() Mah Funcion Sysem Model Oupu y() Sysem Mah Model 3/9
4 Beyond s & Sysems EECE 361 Conrol Sysems Conrol Sysems EECE 323 Elecromag. Anennas & Propagaion EECE 301 s & Sysems EECE 377 Comm. Sysems Communicaions Digial Processing EECE 315 Elecronics Analog Elecronics FPGAs for DSP Compuer Neworks Compuer Securiy Compuing Paradigms (Arificial Inel., Neural Nes, ec.) 4/9
5 Some Applicaion Areas From Table 32.1 in Engineering Uncovered, 2 nd Ed. by Whie & Doering Applicaion Area Telecommunicaions Speech and Audio Auomoive Medical Image Processing Conrol Sysems Miliary & Aerospace Specific Uses of s & Sysems Answering machines, modems, fax machines, cell phones, speaker phones Voice mail, speaker verificaion, synheic speech, audio compression (e.g., mp3) Engine conrol, anilock braking sysems, acive suspension, airbag conrol, sysem diagnosis Hearing aids, remoe monioring, ulrasound imaging, magneic resonance imaging (MRI) 3D animaion, image enhancemen, image compression (JPEG), video compression (MPEG), high-definiion TV Head posiioning in disk drives, laser conrol (e.g., priners, CD/DVD drives), engine & moor conrol, robos Radar & sonar, navigaion sysems (e.g., GPS), secure communicaions, missile guidance, balefield sensors In each of hese areas you can build he elecronics unil your mah models ell you wha you need o build 5/9
6 Five Common s & Sysems Scenarios: Given a sysem, deermine a signal ha will pass hrough i well e.g., Communicaion Transmier Given a ype of signal, design a sysem ha will pass i well e.g., Audio Amplifier Design a sysem ha will make a desired change o a signal e.g., Audio Equalizer Design a sysem ha will exrac desired info from a signal e.g., Radar Sysem or Communicaion Receiver Design a sysem (and maybe signal) ha gives a desired oupu e.g., Conrol Sysem. such as cruise conrol for a car exernal forces: f e () conrol forces: f c () Forward Sysem Feedback The Car speed: v() Cruise Conrol 6/9
7 Coninuous-Time & Discree-Time Modern sysems generally ge a coninuous-ime signal from a sensor a con.-ime sysem modifies he signal an analog-o-digial converer (ADC or A-o-D) sample he signal o creae a discree-ime signal a sream of numbers A discree-ime sysem o do he processing and hen (if desired) conver back o analog (no shown here) x() x() Sensor Analog Elecronics ADC Digial Elec. (Compuer) Physical Sysem Sysem 7/9
8 Our Sudies Because here are many similariies beween and signals and sysems We will presen many ideas side-by-side You ll need o recognize he differences/similariies Ch. 2 Differenial Equaions Difference Equaions Ch. 2 Convoluion Convoluion Ch. 3 & 5 Fourier Analysis & Freq. Response Ch. 6 & 8 Laplace Transform & Transfer Funcion Ch. 4 & 5 Ch. 7 Fourier Analysis & Freq. Response Z-Transform & Transfer Funcion 8/9
9 Course Flow Diagram (The Capial Leers Show Order of Coverage) The arrows here show concepual flow beween ideas. Noe he parallel srucure beween he pink blocks ( Freq. Analysis) and he blue blocks ( Freq. Analysis). New Models A. Ch. 1 Inro Model Funcions on Real Line Sysem Properies LTI Causal Ec D. Ch. 3: CT Fourier Models Fourier Series Periodic s Fourier Transform (CTFT) Non-Periodic s B. Ch. 2 Diff Eqs Sysem Model Differenial Equaions Model Difference Equaions Zero-Sae Response E. Ch. 5: CT Fourier Sysem Models Frequency Response Based on Fourier Transform New Sysem Model C. Ch. 2 Convoluion Sysem Model Convoluion Inegral H. Ch. 6 & 8: Laplace Models for CT s & Sysems Transfer Funcion New Sysem Model New Sysem Model Model Funcions on Inegers New Model Powerful Analysis Tool Zero-Inpu Response Characerisic Eq. F. Ch. 4: DT Fourier Models DTFT (for Hand Analysis) DFT & FFT (for Compuer Analysis) Sysem Model Convoluion Sum G. Ch. 5: DT Fourier Sysem Models Freq. Response for DT Based on DTFT New Sysem Model I. Ch. 7: Z Trans. Models for DT s & Sysems Transfer Funcion New Sysem Model 9/9
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