JBL Technical Note - Vol.2, No.1A 电路原理图.pdf
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1、Technical Notes Vol. 2 , No. 1A 1/3 Octave Equalization and The JBL/UREI 5547A and 5549A Introduction: The use of one-third octave graphic equalizers in the audio world has expanded rapidly in the last several years. Along with the expanded use have come a wide variety of different models from many
2、manufacturers. While they may appear similar on casual inspection, they do in fact differ. If is the purpose of this paper to describe some of the important design and performance considerations which are common to all graphic equalizers and to discuss the performance advantages available from the n
3、ew JBL/UREI Model 5547A Graphic and Model 5549A Room Equalizers. This discussion is not a mathematical treatment of the subject. It will, how- ever provide a better understanding of the subject to those who neither have nor need an extensive background in filter theory. Filter Shape and Combining Ac
4、tion: Any discussion of the important parameters of a one-third octave equalizer must start with considera- tions of filter combining action, filter shape and minimum/non-minimum phase behavior. When we talk about filters which combine we are actually talking about two different aspects of the desig
5、n. The first is the method by which all of the filters are connected together. In the mathematical sense combining filters are those which multiply while non- combining filters add. Or, to put it another way, combining filters add decibels - non-combining filters add volts. To illustrate why combini
6、ng is desirable, let us take as an example a pair of filters which, because of their filter shape, happen to cover a certain band of frequencies in common (see Fig 1). Combining type filter summing action (Filters 1 + 2 Filter 1 Boost Curve Non-combining type filter summing action 2 volt (+8.2 dB) 1
7、.23 volt (+4.4 dB) 1 volt (+2.2 dB) Filter 2 Boost Curve Figure 1. Summing Action of Combining and Non-Combining Type Filters Let us say that one of the filters is adjusted in such a manner that the level of signal at one frequency in this common band is raised to 1 volt rms (approxi- mately +2 dBu.
8、) The control position is marked and the control returned to zero. The second filter is then adjusted to make the signal level 1 volt rms at the same frequency. Now the first filter is returned to the previously marked position. What is the output level of the equalizer at that frequency? If the fil
9、ter is combining, it will add the two levels in dB and get +2 plus +2 = +4 dBu (approximately 1.23 volts rms). If the equalizer is non-combining, it will add the two voltages together and get 1+1 = 2 volts rms (ap- proximately +8 dBu). Rather a difference! A one- third octave audio equalizer should
10、have filters which add decibels for smooth, predictable combining action of multiple filter sections. The second aspect of a good combining filter is that the filter shapes should be designed to achieve the smoothest, most ripple-free amplitude response over the widest range of control settings poss
11、ible (See Fig 2). There is always a tradeoff between selectivity (isolation between filter sections) and smooth amplitude response. It is possible to design a filter set with a wide range of Qs and variation of Q with control setting. The Qof a one-third octave filter is theoretically 4.3, but few,
12、if any, commercial units actually measure 4.3 except at one setting of the filter. This is because it has been found that to achieve good, low ripple combining action, the Q of the filter needs to change with the amount of boost or cut so as to smoothly blend with adjacent filter sections (see Fig 3
13、). The result is that the filter shape is broader at small amounts of Boost/Cut, and becomes increasingly more narrow with greater amounts of Boost/Cut. This creates minimum ampli- tude response ripple for a wide range of control settings. The low amount of amplitude response ripple keeps the phase
14、variation low. At least one manufacturer of one-third octave equalizers is making a strong sales pitch for their units based on the fact that because of the way their units are designed there is little, if any, change in the shape of their filter curves at any position of the Boost/Cut controls. Thi
15、s is an interesting design choice, but we do not believe it to be well consid- ered. While the design does offer increased selectiv- ity at the one-third octave center frequencies, it simultaneously introduces a greater amount of phase shift and increased amplitude response ripple Figure 2* Equaliza
16、tion curwes with Good Poor Combining Action Maximum Boost, Highest Q Lower Boost, Lower Q Figure a frequency response correcting device should not introduce additional amplitude and phase response errors into the signal path. There may be some confusion on the part of the designers of that device an
17、d also for many users who do not understand that one-third octave devices are still broad-band devices and should not be used to perform the functions of a narrow-band device. Narrow band filters such as the UREI Model 562 are more suited to the control of feedback with minimal disruption of the amp
18、litude and phase response of the system. In addition, feedback room modes do not necessarily occur on the exact center frequencies of the one-third octave equalizer. The ability to adjust adjacent filter sections of a good combining filter so that the apparent center frequency of the equalizer is be
19、tween the ISO center frequencies allows for smooth combining action for any response adjustment. Good combining action is clearly preferable to increased amplitude response ripple and the resulting phase shift. Minimum and Non-Minimum Phase: The correct type of filter for use in an audio system is r
20、eferred to as minimum phase. This means that the equalizer produces only the mini- mum amount of phase shift as determined by the amplitude response variation. There is a class of filters which has this characteristic. The definition of that class of filters is a mathematical statement about the str
21、ucture of the filters which very strictly limits their design. (In mathematical terms, the filters do not contain poles or zeroes in the right half-plane of the LaPlace transform, and the log magnitude and phase are related through the Hilbert transform). It is the goal of all electronic components
22、incorporated in an audio system, including loudspeakers and microphones, that they approach minimum phase response. The earliest one-third octave filters were not designed for listening to audio; rather, they were designed by manufacturers such as General Radio and Bruel the only solutions lie in th
23、e province of the acoustical designer. For small amounts of non- minimum phase caused response irregularity, it may be possible to correct the amplitude response, but it will not be possible to simultaneously correct for the phase response errors - in fact, correction of the amplitude response will
24、probably increase the phase error. There are also minimum phase response anomalies in room frequency response. These are caused by acoustic filters which modify the fre- quency characteristic of the sound reaching the listener. Some of these minimum phase filters include the low frequency response r
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