Unsourced material may be challenged and removed. Please help improve this article by adding citations to reliable sources. The example Bode plot shows a slope of −20 dB/decade in the stopband, which means that for every factor-of-ten increase in frequency (going from 10 rad/s to 100 rad/s in the figure), the gain decreases by 20 dB.This article needs additional citations for verification. Whereas in the same distance on a linear scale, with 10 as the major step-size, you might only get from 0 to 50.īode plot showing the concept of a decade: each major division on the horizontal axis is one decadeĮlectronic frequency responses are often described in terms of "per decade".
Typically the graph for such a representation would begin at 1 Hz (10 0) and go up to perhaps 100 kHz (10 5), to comfortably include the full audio band in a standard-sized graph paper, as shown below. For example, an audio amplifier will usually have a frequency band ranging from 20 Hz to 20 kHz and representing the entire band using a decade log scale is very convenient. Graphical representation and analysis ĭecades on a logarithmic scale, rather than unit steps (steps of 1) or other linear scale, are commonly used on the horizontal axis when representing the frequency response of electronic circuits in graphical form, such as in Bode plots, since depicting large frequency ranges on a linear scale is often not practical. =1.079775 – or each step is 7.9775% larger than the last.
The numbers so expressible with an exponent equal to b span a single decade, from 10 b to 10 b + 1. More generally, to write a number in the form a × 10 b, where 1 < a < 10 and b is an integer, is to express it in scientific notation, and a is called the significand or the mantissa, and b is its exponent.
007 is denoted alternatively by 7.0 × 10 -3 then it is said that the number is represented in scientific notation.
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