DSP for FPGAs

This three-day course will review DSP fundamentals from the perspective of implementation within the FPGA fabric. Particular emphasis will be given to highlighting the cost, with respect to both resources and performance, associated with the implementation of various DSP techniques and algorithms. Topics include:

Introduction to FPGA hardware and technology for DSP applications
DSP fixed-point arithmetic
Signal flow graph techniques
HDL code generation for FPGAs
Fast Fourier Transform (FFT) Implementation
Design and implementation of FIR, IIR and CIC filters
CORDIC algorithm
Design and implementation of adaptive algorithms such as LMS and QR algorithm
Techniques for synchronisation and digital communications timing recovery

See detailed course outline

Prerequisites

MATLAB Fundamentals and Simulink for System and Algorithm Modeling

Day 1 of 3
Introduction to DSP FPGA Hardware	Objective: Provide introduction to DSP and FPGA. Understand general FPGA architecture and why FPGAs are uniquely suited to the implementation of DSP algorithms. From discrete logic to FPGAs -some history! The generic DSP system DSP cores and processors review Custom and semi-custom ASICs System-on-chip (SOC) FPGA flexibility and functionality FPGAs vs Programmable DSPs
Linear Systems DSP Algorithm Review	Objective: Review fundamental concepts of sampling theorem, quantization, Fourier analysis and digital filter design. Aliasing and reconstruction filters Sampling rates and wordlengths Z-domain notation and fundamental analysis FIR and IIR filters Digital filter design and specification Oversampling techniques (sigma delta)
FPGA Technology	Objective: Explore different Xilinx FPGA families and architectures. Provide introduction to Spartan 3 and Virtex-5 FPGAs. The FPGA technology roadmap Clocking rates, data rates and sample rates FPGA memory and registers Input/output blocks and requirements Bits, Slices and Configurable Logic Blocks Comparable MIPs Performance Ratings FPGA Families and Sources
FPGA elements for DSP algorithms	Objective: Understand DSP slices, clocking resources and power consumption. Building delay lines and Shift Registers Use of RAM (memory) on FPGAs Serial to Parallel and Parallel to serial Multiplexors for channel selection Full adders, carry logic, and adder trees Multipliers: Shift and Add; ROM based Efficient multiplier implementation
DSP Arithmetic Essentials	Objective: Understand fixed point binary arithmetic. Map arithmetic operations to Xilinx FPGA hardware. 2's complement fixed point arithmetic Fundamental adders and multiplier arrays Division and square root arrays….not so easy! Wordlength issues and Fixed point arithmetic Saturate and wraparound Overflow and underflow
Signal Flow Graph (SFG) Techniques	Objective: Review the representation of DSP algorithms using signal flow graph. Use the Cut Set method to improve timing performance. Implement parallel and serial FIR filters. DSP/Digital Filter Signal Flow Graphs Latency, delays and "anti-delays"! Re-timing: Cut-set and delay scaling The transpose FIR Pipelining and multichannel architectures SFG topologies for FPGAs

Day 2 of 3
Frequency Domain Processing	Objective: Discuss the theory and FPGA implementation of the Fast Fourier Transform. DFT, FFT and IFFT FFT FPGA architectures FFT wordlength growth and accuracy
Multirate Signal Processing for FPGAs	Objective: Develop polyphase structure for efficient implementation of multirate filters. Use CIC filter for interpolation and decimation. Upsampling and interpolation filters Downsampling and decimation filters Efficient arithmetic for FIR implementation Integrators and differentiators Half-band, moving average and comb filters Cascade Integrator Comb (CIC) Filters (Hogenauer) Efficient arithmetic for IIR Filtering
CORDIC Techniques	Objective: Introduce CORDIC algorithm for calculation of various trigonometric functions. CORDIC rotation mode and vector mode Compute cosine and sine function Compute vector magnitude and angle Architecture for FPGA implementation

Day 3 of 3
Adaptive DSP Algorithms and Applications	Objective: Introduce LMS algorithm in adaptive signal processing. Illustrate QR algorithm as a Recursive Least Squares (RLS) technique and why it is particularly suited to FPGA implementation. Adaptive applications (equalisation, beamforming) LMS Algorithms and parallel implementation Non-canonical LMS algorithms Linear algebra; solving linear systems of equations The QR algorithm for adaptive signal processing QR processing requirements and numerical issues
DSP Enabled Communications and FPGAs	Objective: Review quadrature modulation and pulse-shaping. Discuss implementation of numerically controlled oscillators. Quaternary Phase Shift Keying (QPSK) Transmit/Receive Filters - Root Raised Cosine Undersampling and Digital Downconversion Direct digital upconversion Digital IF stages (and fs/4 Systems) Numerically controlled oscillators (NCO) Design partitioning for FPGAs
Timing and Synchronisation Issues	Objective: Cover symbol timing recovery, carrier phase recovery, carrier frequency recovery and frame synchronization. Carrier recovery, squaring and Costas loops, PLLs Phase rotations; Sampling rate conversions Symbol timing recovery, early/late gate detection Delay locked loop timing and synchronisation

Guaranteed to Run

When you register for one of these courses, you can rely on the fact that it won't be canceled or rescheduled for any reason.

Course Schedule

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Dates	Location	Language	Price
28 Sep 2021- 30 Sep 2021	Virtual 9:00 am - 5:00 pm US Pacific Daylight Time	English	USD 2,250
12 Oct 2021- 14 Oct 2021	Virtual 9:00 am - 5:00 pm Central European Summer Time	English	USD 2,250
07 Dec 2021- 09 Dec 2021	Virtual 9:00 am - 5:00 pm US Eastern Standard Time	English	USD 2,250

Results 1 - 3 of 3

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