The invention relates to an apparatus and method for generating harmonics in an audio signal.
Methods and circuits for generating harmonics are used in devices for acoustic reproduction, such as television receivers, radio receivers, and stereo systems, to compensate the frequency response of the loudspeakers, in order to improve acoustic reproduction and also to prevent the device or the system from being overdriven.
A critical element in a device for acoustic reproduction is the loudspeaker, whose acoustic pressure, below a structure-based limit frequency, drops about 40 db per decade. This corresponds to the transmission function of a second-order filter. On the other hand, bass reflex and transmission line loudspeakers have transmission functions corresponding to a filter of higher order. The lower limit frequency typically lies between about 50 Hz and 200 Hz. The lower the limit frequency of a loudspeaker, the more expensive it is to produce. Consequently, economical devices such as TV sets and portable radio receivers are equipped with simpler loudspeakers, whose lower limit frequency is relatively high. To improve acoustic reproduction in the lower frequency range, the limit frequency is displaced downward by pre-amplifying the low frequencies. However, this can cause the final amplifier and the loudspeakers to be overdriven. To prevent the final amplifiers or loudspeakers from being overdriven and possibly even being destroyed, the output signal of the bass amplifier is fed back in such a way that the amplification of the lower frequencies is reduced for a large output signal. For example, U.S. Pat. No. 5,305,388 entitled “Bass Compensation Circuits For Use In Sound Reproduction Device” discloses such a method.
U.S. Pat. No. 359,665 entitled “Audio Bass Frequency Enhancement” discloses a circuit arrangement in which the audio signal is conducted via a first path directly to the first input of an adder, and conducted via a second path through a low-pass filter and an amplifier with variable amplification to a second input of the adder. The output of the amplifier is fed back via a signal level detector to its control input. This measure reduces overdrive of the final amplifier.
From psychoacoustics, it is known that a person can still clearly determine the fundamental frequency of a tone even if the fundamental frequency is not present in the spectrum, but only harmonics of the fundamental frequency. This psychoacoustic effect is utilized in that harmonics of the fundamental frequency are generated and are conducted to a loudspeaker whose limit frequency lies above this fundamental frequency. A listener thus thinks that he is hearing this low fundamental frequency, even though the loudspeaker does not radiate it. For example, a listener thinks that he is hearing a tone of 50 Hz when the loudspeaker in fact does not transmit this low tone, but only a tone of 250 Hz and atone of 300 Hz. Advantageously, a listener subjectively perceives the difference of 50 Hz.
This effect is utilized when qualitatively simple loudspeakers with a high lower limit frequency of for example 120 Hz, are supposed to transmit for example a signal of 60 Hz. One then generates harmonics of the 60 Hz signal whose difference amounts to 60 Hz. The listener then actually thinks he is hearing a 60 Hz tone, although this tone is not radiated by the loudspeaker.
To generate the harmonics electronic circuits are required to determine the fundamental frequency in a mixture of audio signals, and to extract it in order to generate the harmonics of this fundamental frequency.
U.S. Pat. Nos. 5,668,885 and 5,771,296 describe the generation of harmonics by forming absolute values by a rectifier arrangement.
U.S. Pat. Nos. 4,150,253 and 4,700,390 describe the generation of harmonics by clipping (i.e., cutting off the amplitude of the fundamental frequency of the audio signal above a certain level).
In all these documents, filters with fixed corner frequencies are used to select the signals whose harmonics are to be generated.
If there is more than one signal in the selected frequency range (as is the case for real audio signals), which are composed of a frequency spectrum, then not only the harmonics of the existing signals are generated but also harmonics with an undesirable frequency, which consist of the sum of all the existing signal frequencies and their multiples. The result of this is that the tone finally radiated by the loudspeaker sounds very muddy.
Therefore, there is a need for an improved technique for generating harmonics.
Briefly, according to an aspect of the present invention, a system for generating harmonics in an audio signal includes a filtering device that is responsive to an audio input signal, and determines a dominant fundamental frequency component within the audio input signal and provides a filtered audio signal indicative thereof. A non-linear unit (e.g., a multiplier) responsive to the filtered audio signal generates harmonic frequency components of the dominant fundamental frequency and provides a non-linear unit output signal indicative thereof to a first bandpass filter that provides a first bandpass filtered signal. A summer sums the audio input signal and the first bandpass filtered signal to provide a system output signal that includes harmonics of the dominant frequency component.
In one embodiment, a system delimits as precisely as possible the signal frequency whose harmonics are to be generated with a variable filter (e.g., a band-pass filter).
A second embodiment generates harmonics by using the nth power (e.g., two) of the input signal to generate the (n−1) harmonic. If n is equal to two, the fundamental frequency of the input signal is squared and the first harmonic is generated. Fundamental frequency is here understood to designate the dominating frequency contained in the audio signal, within a frequency range of for example less than 120 Hz. Generating harmonics by potentiation is much “cleaner” compared to the known clipping or rectifying process. The amplitude of the signal is corrected before or after potentiation.
Advantageously, a system of the present invention creates an improved audio impression for a listener when he hears an audio signal that is radiated by loudspeakers with a relatively high lower corner frequency.
These and other objects, features and advantages of the present invention will become apparent in light of the following detailed description of preferred embodiments thereof, as illustrated in the accompanying drawings
The low-pass filter 32 has a fixed corner frequency (e.g., 200 Hz). The low-pass filter 34 has a variable corner frequency fc. The high-pass filter 36 has for example a constant corner frequency of 50 Hz, or of k*fc, with k chosen to be less than one. The band-pass filter 40 has for example a center frequency that is proportional to fc.
The corner frequency fc of the low-pass filter 34 can be adjusted in response to the signals s2 and s3. Specifically, the signals s2 and s3 are input to a comparator 44 that provides a control signal on a line 46 that sets the corner frequency fc for the low pass filter 34.
The circuit arrangement of
s3=q*s2, where 0<q<1.
(Remark: “*” designates multiplication)
In the above formula, s3 and s2 can designate the signal amplitudes of the signals s3 and s2 or also their signal energies.
The corner frequency fc is thus adjusted so that a certain portion q of the signal s2 is present at the output of the low-pass filter 34. Only the lowest frequency components of the input signal si (note si=s1) can thus pass. Other interfering signal frequencies are filtered out.
The corner frequency fc can be determined for example by the following:
fc=fc+df, if s3<q*s2
fc=fc−df, if s3>q*s2.
Here df determines the rate of conversions of the rule and is advantageously chosen equal to or less than 1 Hz. That is, the low frequency range of the audio input signal si is queried (e.g., in 1 Hz steps), and the frequency is determined at which the signal has the greatest amplitude or energy.
This frequency is then the desired fundamental frequency, from which harmonics will be generated in the nonlinear unit 38.
The signal s3 is high-pass filtered in the high-pass filter 36. The corner frequency of the high-pass filter 36 can either be constant or selected as a function of fc. Undesired frequencies in the signal s5 are removed by the band-pass filter 40. The center frequency of the band-pass filter 40 may be adjusted as a function of the corner frequency fc. For example, if the nonlinear unit 38 generates mainly signals with the first harmonic (i.e., double the signal frequency of the fundamental) the center frequency can be chosen such that fbp=2*fc, where fbp is the center frequency of the bandpass filter 40.
The signal s6 at the output of the band-pass filter BP2 is preferably amplified by a factor g before it is added to the signal si in the adder stage 42.
The signal s4 is squared in the nonlinear unit 60 to generate the first harmonic. The nonlinear unit 60 provides an output signal s5 that is input to a band-pass filter 62, which provides a bandpassed signal s6. The bandpassed signal s6 is conducted to the adder stage 58, either directly or first multiplied by a factor g. Rather than being squared, the signal s4 may be raised by a power of 3 or 4, or a higher integer value.
Referring to
By being normalized with the RMS value of the signal which is calculated by the RMS detector 72, the signal s3 again recovers its original amplitude, in accordance with
s4=(s22)/RMS(s2).
The detector RMS has a time constant tau of for example 0.2 seconds. Since the amplitude of s3 under some circumstances can rise much faster than the RMS value, which has a higher time constant, very high values can occur in the signal s4. Consequently, the values of the signal s4 are limited to a permissible value in the limiter 78. The generated harmonics are again limited in the band-pass filter 80 with the center frequency fbp2, and then in the adder stage AD are added to the audio signal si.
In the embodiments set forth in
However, higher-order harmonics can be generated just as well if the nonlinear unit is appropriately designed for this. For potentiating by a factor of 3, one would have to make fbp2=fbp1*3, since the frequency was tripled.
The framework of the invention also comprises parallel connection of several of the circuits presented above, in order to simultaneously generate several harmonics (e.g., the first and the second harmonic).
Although the present invention has been shown and described with respect to several preferred embodiments thereof, various changes, omissions and additions to the form and detail thereof, may be made therein, without departing from the spirit and scope of the invention.
Number | Date | Country | Kind |
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199 55 696.2 | Nov 1999 | DE | national |
Number | Date | Country | |
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Parent | 09716167 | Nov 2000 | US |
Child | 10901013 | Jul 2004 | US |