Lesson 02-Linear Systems

Lesson 02-Linear Systems - Linear Systems No Challenge 1...

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Lesson 02 Linear Systems No Challenge 1 Problem Lesson 02: Linear Systems Challenge: Lesson 02
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Lesson 02 Project 1 (continuation) Pre-amp Equalizer Digital Sound Card (Digitizer) PC Software Microphone Conduct a paper design study of a home recording studio. What is the approximate cost of your design?
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Lesson 02 Discussion Points Peak MAC rate =1.2B 32-bit MACs/s  at  100MHz,  0.96B  32-bit  MACs/s at 80 MHz Dynamic range ~ 32-bits  {modulo 241,233,229,187} Area ~ 0.33 cm2 Power = 0.5 W Bandwidth  100 frames/second If we only knew. What will the DSP technology of tomorrow look like? Hardware choices?   μ p/ μ c, DSP  μ p,  custom ASIC/ASSP, structured ASIC, FPGA,  Hard and soft IP Software choice?   Low-level  languages vs. high level languages  with DSP constructs and extensions Applications?   Everywhere  (2D FFT chip developed by the Athena Group, Gainesville, FL.
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Lesson 02 Discussion Points Market trends = DSP chip market ~ $25B annually Programmable DSP  μ 34.8% e.g., TI, Freescale, Analog Devices  Embedded DSP  65.2%    ASSP (Intersil),     ASIC (Cisco),     General purpose core (ARM),     FPGA (Xilinx) Besides experience, what resources are available to assist me in making technology decisions. Benchmarks?
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Lesson 02 Choosing the Right Architecture for Real-Time Signal Processing Designs Leon Adams, Texas Instruments Check who is the author of the recommendation. They typically have an not-so-hidden agenda. Danger This article claims that a DSP μ p as the best choice for essentially all applications. Why?
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Lesson 02 DSP Technology Conclusion Many factors are involved in technology decisions. Performance/power - best known to the academic Others often of equal importance Cost Availability Software design support Interoperability Vendor or 3 rd party intellectual product (IP) support Product roadmap (including legacy components) Many others
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Lesson 02 Linear Systems (Review) Review material What is a linear system? What are the theoretical underpinnings of linear systems? What is the classical solution method? What are alternative solution methods? .
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Lesson 02 Linear Systems Fundamentally, discrete-time systems can be partitioned into two broad classes: linear  and  non-linear . If a system is not linear, then it is non-linear. Linear systems obey the law of superposition (Circuits 1). a b S a b S S =?
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Lesson 02 Linear Systems Does the linear equation y[k]=ax[k]+b represent a linear system?  y 1 [k]=ax 1 [k]+b y [k]=ax 2 [k]+b y 3 [k]=a(x 1 [k]+x 2 [k])+b= ax 1 [k]+ax 2 [k]+b              Note: y 3 [k]   y 1 [k]+y 2 [k]=ax 1 [k]+ax 2 [k]+2b   To be linear,  b=0.  Equivalently, to be linear the initial conditions needs to be zero  which says the system is “at-rest.”   If it walks like a linear system, and  talks like a linear system, then it  must be a linear system. Right?
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This note was uploaded on 09/18/2011 for the course EEL 5718 taught by Professor Janisemcnair during the Fall '11 term at University of Florida.

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Lesson 02-Linear Systems - Linear Systems No Challenge 1...

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