frequency f is:
Phase angle (deg)
(Time shift) Time difference
λ = c / f and c = 343 m/s at 20°C.
Relationship between phase angle φ in radians (rad), the time shift or time delay Δ t,
and the frequency f is:
Phase angle (rad)
"Bogen" means "radians". (Time shift) Time difference
Time = path length / speed of sound
Effect of temperature on the time difference Δ t
of air in °C
|Speed of sound|
c in m/s
| Time per 1 m|
Δ t in ms/m
Audio experts normally work with the rule of thumb:
When distance of r = 1 m is considered the sound demands approximately t = 3 ms in air.
Δ t = r / c and r = Δ t × c Speed of sound c = 343 m/s at 20°C.
the below expressed phase shift φ° (deg) of the signal:
| Frequency |
λ = c / f
|360°||2 π = 6.283185307||2000 Hz||0.171 m|
|180°||π = 3.141592654||1000 Hz||0.343 m|
|90°||π / 2 = 1.570796327||500 Hz||0.686 m|
|45°||π / 4 = 0.785398163||250 Hz||1.372 m|
|22.5°||π / 8 = 0.392699081||125 Hz||2.744 m|
|11.25°||π /16= 0.196349540||62.5 Hz||5.488 m|
Frequency f = φ° / 360 × Δ t
Consider the time difference Δ t = path length a / speed of sound c, then we find
Phase difference φ° = path length a × frequency f × 360 / speed of sound c
You must enter at least two values, the third value will be solved and presented
|Although we need a constant clear frequency response, the "linear" phase demands some|
You may see engineers expecting ideal phase as constant like the amplitude response.
That is incorrect. At the start, the phase commences at 0° due to the fact that the lowest frequency finishes at 0 Hz, at DC. (You won't find any phase angle between DC voltages).
AS it proceeds for a given frequency a phase angle is meaningless, if the phase angle is
only two times as big for a double frequency, and thrice as significant as in triplicate, etc.
|A sine wave involving 1500 Hz. frequency (period T = 0.667 ms) as well as its delayed|
iteration, at 1 ms delay. The ending mixed signal has to be signal without any
amplitude, or perhaps a total termination of signal.
The phase shift for just about any frequency having a delay of 1 millisecond.
Polarity reversal is no phase shift.
Polarity reversal (or Pol-Rev) is a phrase which is frequently mistaken for phase Ø (phi)
however entails no phase shift or time delay. Polarity change happens if we
"change the sign" of the amplitude values of a signal. Within the analog sphere this
can be carried out having an inverting amplifier, a transformer, or in a balanced line by
merely changing contacts among pins 2 and 3 (XLR plug) on a single end of
the cable. In the digital sphere, it really is carried out simply by altering almost all pluses to
negatives and the other way round in the audio-signal data flow.
middle: the 180° phase shifted signal
as T/2 time shifted sawtooth
bottom: the b/a-polarity reversed (inverted) signal,
mirrored on the time axis
Obviously it can be found that reversed polarity cannot be exactly like out of phase.
It really is concerning the much-discussed subject: "Phase shift vs. inverting a signal" and "phase
shift vs. time shift of a signal." The phrase phase shift is apparently described only for
mono frequency sine signals and the phase shift angle is clearly identified just for
There is absolutely no phase shifting
|Given is the equation: y = 50 sin (5000 t)|
Determine the frequency and the amplitude.
Answer: The amplitude is 50 and ω = 5000.
So the frequency is f = 1/T = ω / 2 π = 795.77 Hz.
|To use the calculator, simply enter a value.|
The calculator works in both directions of the ↔ sign.