Digital signal processing: Difference between revisions
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'''Editing Digital signal processing''' ('''DSP''') ... |
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== Introduction to Digital Signals == |
== Introduction to Digital Signals == |
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=== Continuous vs Discrete === |
=== Continuous vs Discrete === |
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In order to understand the benefits and limitations of Digital Signal Processing (DSP) it is important to understand the distinction between |
In order to understand the benefits and limitations of Digital Signal Processing (DSP) it is important to understand the distinction between continuous and [[discrete]] signal representations. In the Synth DIY world, much use is made of the terms [[analog]] and [[digital]] without any clear explanation of the very different assumptions that underpin those terms. |
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A ''signal'' can be defined as any function that conveys information about the state of a physical system. This is usually represented as a variation of values over time or space. Signals are represented mathematically as functions of one or more independent variables. |
A ''signal'' can be defined as any function that conveys information about the state of a physical system. This is usually represented as a variation of values over time or space. Signals are represented mathematically as functions of one or more independent variables. |
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''Discrete-time'' signals are only defined at specific times and the independent variables can therefore only take on discrete values. Discrete-time signals are represented by a sequence of discrete values. In the context of Synth applications, the specific times at which the signals are defined are regular and evenly spaced. |
''Discrete-time'' signals are only defined at specific times and the independent variables can therefore only take on discrete values. Discrete-time signals are represented by a sequence of discrete values. In the context of Synth applications, the specific times at which the signals are defined are regular and evenly spaced. |
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In real world applications, the values a signal takes on as it varies usually represents an amplitude. The signal amplitude can also be either ''continuous'' or ''discrete''. |
In real world applications, the values a signal takes on as it varies usually represents an amplitude. The signal amplitude can also be either ''continuous'' or ''discrete''. |
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When we talk about an ''analog'' signal, we are usually referring to a signal that is both a ''continuous-time'' and ''continuous-amplitude'' signal. A ''digital'' signal is both a ''discrete-time'' and ''discrete-amplitude'' signal, which translates into the reality that it is both sampled (discrete-time) and quantised (discrete-amplitude). |
When we talk about an ''analog'' signal, we are usually referring to a signal that is both a ''continuous-time'' and ''continuous-amplitude'' signal. A ''digital'' signal is both a ''discrete-time'' and ''discrete-amplitude'' signal, which translates into the reality that it is both sampled (discrete-time) and quantised (discrete-amplitude). |
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