講解：Delta-sigma、Matlab、analog-to-digital、MatlabPython|SQCHANGE LOGDate DescriptionNov 10, 2018 Original creation.PROJECT SPECIFICATIONS AND DETAILSDelta-sigma modulators are a popular means of realizing high resolution, but moderate bandwidth,analog-to-digital data converters. Such systems quantize a given continuous time signal to anoversampled, but coarse (e.g., typically 1 but up to 4-5 bits) digital seqeuence. The main idea is that thenoise resulting from very coarsely quantizing the input signal is distributed over [0, Fs/2] whereas thesignal is concentrated in a much smaller bandwidth, [0,B] where OSR = (Fs/2)/B is called the“oversamping ratio”. A digital Decimation Filter subsequently filters out most of this quantization noiseand down-samples the result to achieve a very high resolution digital sample representation of thesignal, as shown in Fig. 1.Goal: Design and implement (in MATLAB) a decimation filter that meets the specifications given belowwhile minimizing the hardware and energy requirements. In other words, you have to design the filter,choose the architecture, and the bit-widths of a fixed-point implementation.Specifications:Parameter ValueInput sample rate, F1 1024 kHzOutput sample rate, F2 8 kHzOversampling ratio (OSR) 128Pass-band edge 2 kHzStop-band edge 3 kHzMinimum stop-band attenuation 60 dBMaximum pass-band ripple 1 dBPass-band phase LinearMinimum output SNR (for -6dB full-scale signal) 90 dBOSRπ??????LPFProcedure and other notes:1. Estimate the hardware and energy consumption in terms of the number of “basic” logic gatesrequired according to the following approximate table:Arithmetic Block Number of Logic Gatesn-bit Adder 4nn-bit Multiplier 2n2n-bit Register 5nFurthermor代做Delta-sigma作業、代寫Matlab編程作業、代做analog-to-digital作業、代寫Matlab作e, assume that each “basic” logic gate running at F2, consumes a power P. To run at ahigher rate, F, assume that it consumes a power (F/F2)*P i.e. power increases linearly withoperating frequency.2. You are free to choose a digital filtering method of your choice. However, you have to guaranteethat the phase is linear over the pass-band. The simplest (conceptually) methods involveFIR/IIR/hybrid filtering followed by down-sampling. More sophisticated method involvedecimating gradually from F1 to F2 via some intermediate frequencies, using what are called“Cascaded Integrator Comb” or “CIC” filters. Here is a key reference (many others can be readilyfound by a proper search).a. E. B. Hogenauer, “An economical class of digital filters for decimation andinterpolation,” IEEE Transactions on Acoustics, Speech and Signal Processing,ASSP29(2):155–162, 1981.3. For grading, preference will be given to a complete working system (that meets allspecifications) a system that promises hardware reductions but is not deomnstrated to meet allspecifications.SUBMISSION DETAILS:1. Please submit MATLAB code that will design your filter and plot all relevant results e.g.,frequency response plots, pole-zero plot, impulse response etc., all with and withoutquantization effects. I will run your MATLAB code to evaluate it. If it doesn’t run, you will get nocredit. Do not forget proper labeling of your plots.2. Please submit a two page report summarizing the design approach, rationale behind your designchoices and a table of performance numbers. Show quantitative arguments in favor of yourchoices.3. The deadline for the project submission is Friday, Dec 14 2018, 5pm PST i.e. the last businessday of the finals week.轉自：http://ass.3daixie.com/2018120211772742.html

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