Folding (DSP Implementation)
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Folding (DSP Implementation)
Folding is a transformation technique using in DSP architecture implementation for minimizing the number of functional blocks in synthesizing DSP architecture. Folding was first developed by Keshab K. Parhi and his students in 1992. Its concept is contrary to unfolding. Folding transforms an operation from a unit-time processing to ''N'' unit-times processing where ''N'' is called folding factor. Therefore, multiple same operations (less than ''N'') used in original system could be replaced with a signal operation block in transformed system. Thus, in ''N'' unit-times, a functional block in transformed system could be reused to perform ''N'' operations in original system. While the folding transformation reduces the number of functional units in the architecture, it needs more memory element to store the temporary data. The reason is that multiple data produced from an operation block needs to be distinguished from ''N'' data produced from original operations. Therefore, the numb ...
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Digital Signal Processing
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations. The digital signals processed in this manner are a sequence of numbers that represent samples of a continuous variable in a domain such as time, space, or frequency. In digital electronics, a digital signal is represented as a pulse train, which is typically generated by the switching of a transistor. Digital signal processing and analog signal processing are subfields of signal processing. DSP applications include audio and speech processing, sonar, radar and other sensor array processing, spectral density estimation, statistical signal processing, digital image processing, data compression, video coding, audio coding, image compression, signal processing for telecommunications, control systems, biomedical engineering, and seismology, among others. DSP can involve linear or nonli ...
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Logic Synthesis
In computer engineering, logic synthesis is a process by which an abstract specification of desired circuit behavior, typically at register transfer level (RTL), is turned into a design implementation in terms of logic gates, typically by a computer program called a ''synthesis tool''. Common examples of this process include synthesis of designs specified in hardware description languages, including VHDL and Verilog. Some synthesis tools generate bitstreams for programmable logic devices such as PALs or FPGAs, while others target the creation of ASICs. Logic synthesis is one aspect of electronic design automation. History of logic synthesis The roots of logic synthesis can be traced to the treatment of logic by George Boole (1815 to 1864), in what is now termed Boolean algebra. In 1938, Claude Shannon showed that the two-valued Boolean algebra can describe the operation of switching circuits. In the early days, logic design involved manipulating the truth table representation ...
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Keshab K
Keshab is a village in the Ardabil Province of Iran Iran, officially the Islamic Republic of Iran, and also called Persia, is a country located in Western Asia. It is bordered by Iraq and Turkey to the west, by Azerbaijan and Armenia to the northwest, by the Caspian Sea and Turkmeni .... References Tageo Populated places in Ardabil Province {{Ardabil-geo-stub ...
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Unfolding (DSP Implementation)
Unfolding is a transformation technique of duplicating the functional blocks to increase the throughput of the DSP program in such a way that preserves its functional behavior at its outputs. Unfolding was first proposed by Keshab K. Parhi and David G. Messerschmitt in 1989.K.K. Parhi, and D.G. Messerschmitt, "Static Rate-Optimal Scheduling of Iterative Data Flow Programs via Optimum Unfolding," IEEE Trans. on Computers, Vol. 40(2), February 1991, pp. 178-195, https://doi.org/10.1109/12.73588 Unfolding in general program is as known as Loop unrolling. Unfolding has applications in designing high-speed and low-power ASIC architectures. One application is to unfold the program to reveal hidden concurrency so that the program can be scheduled to a smaller iteration period, thus increasing the throughput of the implementation. Another application is parallel processing in word level or bit level. Therefore these transformed circuit could increase the throughput and decrease the power ...
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DSP Architecture Folding Example
DSP may refer to: Computing * Digital signal processing, the mathematical manipulation of an information signal * Digital signal processor, a microprocessor designed for digital signal processing * Yamaha DSP-1, a proprietary digital signal processor * Demand-side platform, a system to facilitate the buying of online advertising Education * Developmental social-pragmatic model, a developmental intervention for autistic spectrum disorders * Direct support professional, a specialist in education of the mentally disabled * Deutsche Schule Prag, a German international school in Prague, Czech Republic * Deutsche Schule Paris, now the Internationale Deutsche Schule Paris, a German international school in France * Deutsche Schule Pretoria, a German international school in Pretoria, South Africa Military and police * Deputy Superintendent of Police * Defense Standardization Program, in the U.S. military * Defense Support Program, operators of the U.S. Air Force's early-warn ...
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Codomain
In mathematics, the codomain or set of destination of a function is the set into which all of the output of the function is constrained to fall. It is the set in the notation . The term range is sometimes ambiguously used to refer to either the codomain or image of a function. A codomain is part of a function if is defined as a triple where is called the ''domain'' of , its ''codomain'', and its ''graph''. The set of all elements of the form , where ranges over the elements of the domain , is called the ''image'' of . The image of a function is a subset of its codomain so it might not coincide with it. Namely, a function that is not surjective has elements in its codomain for which the equation does not have a solution. A codomain is not part of a function if is defined as just a graph. For example in set theory it is desirable to permit the domain of a function to be a proper class , in which case there is formally no such thing as a triple . With such a defi ...
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Digital Biquad Filter
In signal processing, a digital biquad filter is a second order recursive linear filter, containing two poles and two zeros. "Biquad" is an abbreviation of "''biquadratic''", which refers to the fact that in the Z domain, its transfer function is the ratio of two quadratic functions: :\ H(z)=\frac The coefficients are often normalized such that ''a''0 = 1: :\ H(z)=\frac High-order IIR filters can be highly sensitive to quantization of their coefficients, and can easily become unstable. This is much less of a problem with first and second-order filters; therefore, higher-order filters are typically implemented as serially-cascaded biquad sections (and a first-order filter if necessary). The two poles of the biquad filter must be inside the unit circle for it to be stable. In general, this is true for all discrete filters i.e. all poles must be inside the unit circle in the Z-domain for the filter to be stable. Implementation Direct form 1 The most straightforward impleme ...
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Pipeline (computing)
In computing, a pipeline, also known as a data pipeline, is a set of data processing elements connected in series, where the output of one element is the input of the next one. The elements of a pipeline are often executed in parallel or in time-sliced fashion. Some amount of buffer storage is often inserted between elements. Computer-related pipelines include: * Instruction pipelines, such as the classic RISC pipeline, which are used in central processing units (CPUs) and other microprocessors to allow overlapping execution of multiple instructions with the same circuitry. The circuitry is usually divided up into stages and each stage processes a specific part of one instruction at a time, passing the partial results to the next stage. Examples of stages are instruction decode, arithmetic/logic and register fetch. They are related to the technologies of superscalar execution, operand forwarding, speculative execution and out-of-order execution. * Graphics pipelines, found in mo ...
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The Lifetime Chart Corresponding To The Lifetime Table
''The'' () is a grammatical article in English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with pronouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of pronoun ''thee'') when followed by a v ...
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The Allocation Table For The Folded Biquad Filter
''The'' () is a grammatical article in English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with pronouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of pronoun ''thee'') when followed by a v ...
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Register Minimization
Register or registration may refer to: Arts entertainment, and media Music * Register (music), the relative "height" or range of a note, melody, part, instrument, etc. * ''Register'', a 2017 album by Travis Miller * Registration (organ), the art of combining the different sounds of a pipe organ to produce the desired sound Periodicals Australia * ''South Australian Register'', later ''The Register'', originally the ''South Australian Gazette and Colonial Register'' United Kingdom * ''Sheffield Register'', England * ''Socialist Register'', an annual British journal * ''The Register'', a technology news website United States * ''Federal Register'', a public journal of the United States federal government * ''Napa Valley Register'', Napa Valley, California * ''National Catholic Register'', the oldest national Catholic newspaper in the United States * ''New Haven Register'', Connecticut * ''Orange County Register'', Santa Ana, California * ''Social Register'', one of a number ...
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High-level Synthesis
High-level synthesis (HLS), sometimes referred to as C synthesis, electronic system-level (ESL) synthesis, algorithmic synthesis, or behavioral synthesis, is an automated design process that takes an abstract behavioral specification of a digital system and finds a register-transfer level structure that realizes the given behavior. Synthesis begins with a high-level specification of the problem, where behavior is generally decoupled from low-level circuit mechanics such as clock-level timing. Early HLS explored a variety of input specification languages,IEEE XplorHigh-Level Synthesis: Past, Present, and FutureDOI 10.1109/MDT.2009.83 although recent research and commercial applications generally accept synthesizable subsets of ANSI C/C++/ SystemC/MATLAB. The code is analyzed, architecturally constrained, and scheduled to transcompile into a register-transfer level (RTL) design in a hardware description language (HDL), which is in turn commonly synthesized to the gate level by the ...
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