Mathematical analysis of the transfer function can describe how it will respond to any input. 4 Comparison of analog and digital filtersĪ digital filter is characterized by its transfer function, or equivalently, its difference equation.When used in the context of real-time analog systems, digital filters sometimes have problematic latency (the difference in time between the input and the response) due to the associated analog-to-digital and digital-to-analog conversions and anti-aliasing filters, or due to other delays in their implementation.ĭigital filters are commonplace and an essential element of everyday electronics such as radios, cellphones, and AV receivers. Digital filters can often be made very high order, and are often finite impulse response filters, which allows for linear phase response. ĭigital filters may be more expensive than an equivalent analog filter due to their increased complexity, but they make practical many designs that are impractical or impossible as analog filters. In some high performance applications, an FPGA or ASIC is used instead of a general purpose microprocessor, or a specialized digital signal processor (DSP) with specific paralleled architecture for expediting operations such as filtering. Program Instructions (software) running on the microprocessor implement the digital filter by performing the necessary mathematical operations on the numbers received from the ADC. This is in contrast to the other major type of electronic filter, the analog filter, which is typically an electronic circuit operating on continuous-time analog signals.Ī digital filter system usually consists of an analog-to-digital converter (ADC) to sample the input signal, followed by a microprocessor and some peripheral components such as memory to store data and filter coefficients etc. In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. Index.A general finite impulse response filter with n stages, each with an independent delay, d i, and amplification gain, a i. Introducing an Arbitrary Phase Shift into a Signal. Influence of Carrier Frequency Mismatch and its Compensation. Hilbert Transformers - Hilbert transform Realization. Conversion of Unity Gain Filters into Differentiators. High Pass Filters, Band Pass Filters, and Differentiators - Filter Classification. Low Pass Filters - General Characteristics. Filter Design and Implementation- Impulse Response. This invaluable toolkit also contains basic algorithms such as time and frequency domain implementations, interpolation, decimation, and phase/frequency demodulation, so you can quickly and easily program in the filters. Digital filter designer full#Furthermore, this resource takes a fresh look at differentiators and Hilbert transformers, offering you practical tips on implementation, influence of noise, the conversion of low pass filters into differentiators, error propagation, precision phase measurement, and full characterization of two phase/frequency demodulation schemes over a range of conditions. You find in-depth coverage of the most popular filter types, including low pass, high pass, band pass, differentiators, and Hilbert transformers. This unique resource allows you to quickly compare the performance of several candidate filters and to select the right ones for a wide range of applications. Performance parameters such as step response rise time, overshoot, settling time, dc accuracy, and those related to noise propagation through the filter have been tabulated to allow you full control of your filtering application. You get 260 digital filters that are ready to use and have been fully characterized in terms of their frequency response, step response, impulse response, and pass band characteristics. The practical knowledge presented in the book enables you to take control of your projects, using the filter coefficients included on the CD-ROM. Take advantage of the widest possible range of filtering techniques and still keep design time to a minimum with this book and CD-ROM toolkit.
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