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Chapter 16

Digital Filtering

Some advantages of digital filters over analog filters include the following:

Digital filters are software-programmable and therefore are easy to build and test.

Digital filters require only the arithmetic operations of multiplication and addition/subtraction and therefore are easier to implement.

Digital filters do not drift with temperature or humidity or require precision components.

Digital filters have a superior performance-to-cost ratio.

Digital filters do not suffer from manufacturing variations or aging.

Common Digital Filters

Digital filters can be classified in many ways. The traditional approach is to first classify a filter based on the values upon which it operates. The simplest filters are those that operate on input values only. These filters are called Moving Average (MA) filters or Finite Impulse Response (FIR) filters. These filters perform a convolution of the filter coefficients with a sequence of input values, producing an equally numbered sequence of output values. The term FIR is used because if a single impulse is present at the input of the filter and all subsequent inputs are zero, then the output of the filter becomes zero after some finite time, equal to the number of filter coefficients.

If a filter operates on current and previous input values and current and previous output values, then the filter is termed Infinite Impulse Response (IIR) or Auto Regressive Moving Average (ARMA). The impulse response of such a filter is infinite in the sense that the response of the filter to an impulse never goes to zero.

Each type of filter has advantages and disadvantages. Filter design, as with all other engineering practices, involves tradeoffs. FIR filters are simple, and can be designed to provide a linear phase response or constant group delay. IIR filters can achieve the same level of attenuation as FIR filters with far fewer coefficients. This means that the IIR filter can be significantly faster and more efficient.

LabVIEW Measurements Manual

16-2

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