Systems and methods for generating phantom bass
View Patent ↗In many audio playback systems, frequencies below a given cut off frequency are suppressed either due to speaker constraints or safety constraints. For example, some speakers are only capable of generating signals above a certain frequency. Prolonged low frequency sound can cause damage to speakers or other components. An audio driver can be equipped with a phantom bass module which by doubling, tripling and/or quadrupling frequencies below a cutoff frequency can simulate the bass experience. The doubling, tripling and quadrupling methods disclosed provide a low complexity formulation of a frequency doubling, tripling and quadrupling. In addition, the frequency doubling, tripling and quadrupling formulations are easily adapted to multi-rate processing, where computational savings can be very high.
1. An audio driver comprising:
a high pass filter operable to receive and filter an audio signal;
a phantom bass module operable to generate an output signal and comprising:
a first band pass filter operable to receive the audio signal;
a doubler module operable to apply a frequency doubling formula having an input signal x and an output signal z;
a second band pass filter operable to filter the output signal z of the frequency doubling formula;
a mixer operable to add the filtered output signal z of the frequency doubling formula to the audio signal;
a digital to analog converter (DAC); and
an amplifier,
wherein the frequency doubling formula is either z[n]=(x⊕ N x)[n] or z[n]=(x {circumflex over (⊕)} N x)[n], where N is a window size.
2. In the audio driver of claim 1 , the phantom bass module further comprises a first gain element operable to receive a signal from the first band pass filter.
3. In the audio driver of claim 1 , phantom bass module further comprises a downsampler operable to downsample the audio signal filtered by the first band pass filter; and an upsampler operable to upsample the output signal z.
4. In the audio driver of claim 1 the phantom bass module further comprises a frequency tripler.
5. In the audio driver of claim 4 the phantom bass module further comprises a second gain element coupled to the frequency tripler.
6. In the audio driver of claim 4 the frequency tripler further comprises:
a third band pass filter;
a tripler module operable to apply a frequency tripling formula having an input signal x and an output signal z;
a fourth band pass filter operable to filter the output signal z;
wherein the tripling formula is one of the following equations,
z[n ]=( x⊕ N ( x⊕ M x ))[ n], z[n ]=( x⊕ N ( x{circumflex over (⊕)} M x ))[ n],
z[n ]=( x⊕ N ( x{circumflex over (⊕)} M x ))[ n], z[n ]=( x{circumflex over (⊕)} N ( x{circumflex over (⊕)} M x ))[ n],
z[n ]=(( x⊕ N x )⊕ M x )[ n], z[n ]=(( x{circumflex over (⊕)} N x )⊕ M x )[ n],
z[n ]=(( x⊕ N x ){circumflex over (⊕)} M x )[ n], z[n ]=(( x{circumflex over (⊕)} N x ){circumflex over (⊕)} M x )[ n],
where N and M are window sizes.
7. In the audio driver of claim 4 the frequency tripler further comprises:
a third band pass filter;
a doubler module operable to apply a frequency doubling formula having an input signal x and an output signal y;
a fourth band pass filter operable to filter the output signal y;
a multiplier module operable to apply a multiplier formula receiving the input signal x and an output signal y′ from the fourth band pass filter and having an output signal z,
wherein the frequency doubling formula is either y[n]=(x⊕ N x)[n] or y[n]=(x{circumflex over (⊕)} N x)[n], and the multiplier formula is either z=(x⊕ N′ y′)[n] or z=(x{circumflex over (⊕)} N′ y′)[n] or z=(y′⊕ N′ x)[n] or z=(y′{circumflex over (⊕)} N′ x)[n], where N and N′ are window sizes.
8. In the audio driver of claim 3 the phantom bass module further comprises a frequency quadrupler.
9. In the audio driver of claim 8 the phantom bass module further comprises a third gain element coupled to the frequency quadrupler.
10. In the audio driver of claim 8 the frequency quadrupler further comprises:
a fifth band pass filter;
a quadrupler module operable to apply a frequency quadrupling formula having an input signal x and an output signal z;
a sixth band pass filter operable to filter the output signal z,
wherein the quadrupling formula is comprising either a ⊕ N operator, a {circumflex over (⊕)} N operator, a ⊕ M operator or a {circumflex over (⊕)} M operator; a ⊕ P operator or a {circumflex over (⊕)} P operator.
11. In the audio driver of claim 8 the frequency quadrupler further comprises:
a fifth band pass filter;
a tripler module operable to apply a frequency quadrupling formula having an input signal x and an output signal y;
a sixth band pass filter operable to filter the output signal y;
a multipler module operable to apply a multiplier formula receiving the input signal x and an output signal y′ from the sixth band pass filter and having an output signal z;
a seventh band pass filter operable to filter the output signal z;
wherein the tripling formula is one of the following equations,
y[n ]=( x⊕ N ( x⊕ M x ))[ n], y[n ]=( x{circumflex over (⊕)} N ( x⊕ M x ))[ n],
y[n ]=( x⊕ N ( x{circumflex over (⊕)} M x ))[ n], y[n ]=( x{circumflex over (⊕)} N ( x{circumflex over (⊕)} M x ))[ n],
y[n ]=(( x⊕ N x )⊕ M x )[ n], y[n ]=(( x{circumflex over (⊕)} N x )⊕ M x )[ n],
y[n]=((x⊕ N x){circumflex over (⊕)} M x)[n], y[n]=((x{circumflex over (⊕)} N x){circumflex over (⊕)} M x)[n], and the multiplier formula is either z=(x⊕ N′ y′)[n] or z=(x{circumflex over (⊕)} N′ y′)[n] or z=(y′⊕ N′ x)[n] or
z=(y′{circumflex over (⊕)} N′ x)[n] where N, M and N′ are window sizes.
12. In the audio driver of claim 8 the frequency quadrupler further comprises:
a fifth band pass filter;
a first doubler module operable to apply a first frequency doubling formula having an input signal x and an output signal y;
a sixth band pass filter operable to filter the output signal;
a second doubler module operable to apply a second frequency doubling receiving an output signal y′ from the six band pass filter and having an output signal z;
a seventh band pass filter operable to filter the output signal z;
wherein the first frequency doubling formula is either y[n]=(x⊕ N x)[n] or y[n]=(x{circumflex over (⊕)} N x)[n], and the second frequency doubling formula is either z[n]=(y′⊕ M y′)[n] or z[n]=(y′{circumflex over (⊕)} M y′)[n], where N and M are window sizes.
13. In the audio driver of claim 8 the frequency quadrupler further comprises:
a fifth band pass filter;
a first doubler module operable to apply a first frequency doubling formula having an input signal x and an output signal y;
a sixth band pass filter operable to filter the output signal y;
a multiplier module operable to apply a first multiplier formula receiving the input signal x and the output signal y′ from the sixth band pass filter and having an output signal w,
a seventh band pass filter operable to filter the output signal w,
a multiplier module operable to apply a second multiplier formula receiving the input signal x and the output signal w′ from the seventh band pass filter and having an output signal z, and
an eighth band pass filter operable to filter the output signal z.
wherein the frequency doubling formula is either y[n]=(x⊕ N x)[n] or y[n]=(x{circumflex over (⊕)} N x)[n], the first multiplier formula is either w=(x⊕ N′ y′)[n] or w=(x{circumflex over (⊕)} N′ y′)[n] or w=(y′⊕ N′ x)[n] or w=(y′{circumflex over (⊕)} N′ x)[n], and the second multiplier formula is either z=(x⊕ N″ w′)[n] or z=(x{circumflex over (⊕)} N″ w′)[n] or z=(w′⊕ N″ x)[n] or z=(w′{circumflex over (⊕)} N″ x)[n], where N, N′ and N″ are window sizes.
14. A method of generating phantom bass comprising:
isolating a first range of frequency components to be frequency doubled from an input signal;
doubling the input signal after isolating the first range of frequency components to produce a first output signal y by applying the equation y[n]=(x⊕ N x)[n] or y[n]=(x{circumflex over (⊕)} N x)[n] where x are the input signal; and
isolating a second range of frequency components from the first output signal.
15. The method of claim 14 wherein the method further comprises:
downsampling the input signal after isolating the first range of frequency components; and
upsampling the first output signal.
16. The method of claim 14 further comprising:
isolating a third range of frequency components to be frequency tripled from an input signal;
tripling the input signal after isolating the third range of frequency components to produce a second output signal;
isolating a forth range of frequency components from the second output signal; and
combining the second output signal and the first output signal.
17. The method of claim 16 wherein the method further comprises:
downsampling the input signal after isolating the third range of frequency components; and
upsampling the second output signal.
18. The method of claim 16 further comprising:
isolating a fifth range of frequency components to be frequency quadrupled from an input signal;
quadrupling the input signal after isolating the fifth range of frequency components to produce a third output signal;
isolating a sixth range of frequency components from the third output signal; and
combining the third output signal, the second output signal and the first output signal.
19. The method of claim 18 wherein the method further comprises:
downsampling the input signal after isolating the fifth range of frequency components; and
upsampling the third output signal.