The RTA window allows Real Time Analyser (RTA) or spectrum analyser plots
to be generated, updating as the input signal is analysed. It is shown
by pressing the RTA button in the toolbar of the main REW window.

The RTA trace is activated by pressing the record button in the top right hand corner of the graph area, after which it will continuously analyse blocks of input samples and display the frequency spectrum of each block. Sometimes the analyser would be used without a test signal, for example to look at the frequency content of background noise, but more often it would be used together with the REW generator or an external generator or signal source. If the generator is playing a pink noise signal (or even better, pink Periodic Noise) the RTA display will show the frequency response of the room, updated live so that the effects of changing EQ settings can be immediately seen.

Playing a sine wave test tone on the generator allows the levels of the tone and its harmonics to be observed on the analyser and distortion percentages to be calculated, whilst using the dual tone generator allows intermodulation distortion measurements.

The RTA plot shows the currently selected measurement as a reference
and the live RTA or spectrum. In RTA mode a Peak trace is also available, which
is reset by the *Reset Averaging* button. If Inverse C compensation is being applied the
icon is shown after the trace value. If Mic/Meter calibration file or soundcard
calibration file have been loaded they are applied to the results.
The current Input RMS value is shown to the left of the record button,
in dB SPL or dB FS according to the setting of the Y axis. This figure excludes
any DC content in the signal. If clipping is detected in the input the RMS value
turns red.

The controls for the plot are shown below.

The *Mode* can be set to Spectrum for a spectrum analyser plot or
to various RTA resolutions from 1 octave to 1/48 octave. The difference between
spectrum and RTA modes is how the information is presented. In spectrum mode
the frequency content of the signal is split up into bins that are all the
same width in Hz. For example, with a 64k FFT length and 48 kHz sample rate
the bins are 0.732 Hz wide. The plot shows the energy in each of those bins.
In RTA mode the bin widths are an octave fraction, so their width in Hz varies
with the frequency. For example, a 1 octave RTA plot has bins that are 70.7 Hz
wide at 100 Hz (from 70.7 Hz to 141.4 Hz) and 707 Hz wide at 1 kHz (from 707 Hz
to 1.414 kHz). The plot shows the combined energy at each frequency within
each bin. This is closer to how our ears perceive sound. The different presentations
mean signals with a spread of frequency content will look different on the plot.
The best known examples are white noise and pink noise. White noise has the same
energy at each frequency. On a spectrum plot, which shows the energy at each
frequency, the white noise plots as a horizontal line. On an RTA plot it
appears as a line that rises with increasing frequency, as each RTA bin gets
wider it covers more frequencies and so has more energy. The bin widths
double with each doubling of frequency so the energy also doubles, which
adds 3 dB on the logarithmic plots we use to show level. White noise sounds
quite 'hissy', we perceive it as having more energy at higher frequencies.

Pink noise has energy that falls 3 dB with each doubling of frequency. On a spectrum plot it is a line that falls at that 3 dB per octave rate, on an RTA plot it is a horizontal line as the energy in the signal is falling at the same rate as the bins are widening. We perceive pink noise as having a uniform distribution of energy with frequency.

Single tones are a special case, they will appear at the same level on either style of plot as their energy is all at one frequency, so on a spectrum plot they show as a vertical line, on an RTA plot they show (typically) as a bar of the width of the bin at their frequency, but the height of the bar is the same as the height of the line on the spectrum as all the energy is at that one frequency.

In Spectrum or RTA modes the plot can either draw lines between the centres
of the FFT bins or draw horizontal bars whose width matches the FFT bin or
RTA octave fraction width, this is controlled by the *Use bars on spectrum*
and *Use bars on RTA* check boxes.

In Spectrum mode smoothing can be applied to the trace according to the setting
of the *Smoothing* box. Smoothing is not applicable for RTA modes.

The *FFT Length* determines the basic frequency resolution of the analyser,
which is sample rate divided by FFT length. The shortest FFT is 8,192 (often
abbreviated as 8k) which is also the length of the blocks of input data that are
fed to the analyser. An 8k FFT has a frequency resolution of approximately 6Hz
for data sampled at 48kHz. As the FFT length is increased the analyser starts to
overlap its FFTs, calculating a new FFT for every block of input data. The degree
of overlap is 50% for 16k, 75% for 32k, 87.5% for 64k and 93.75% for 128k. The
overlap ensures that spectral details are not missed when a Window is applied
to the data. The maximum overlap allowed can be limited using the *Max Overlap*
control below to reduce processor loading at higher FFT lengths.

The FFT resolution is also affected by the *Window* setting. Rectangular
windows give the best frequency resolution but are only suitable when the signal
being analysed is periodic within the FFT length or if a noise signal is being
measured. The Rectangular window should always be used with the REW
periodic noise signals.
Most other signals, e.g. sine waves from the REW generator or test tones on a CD,
typically would not be periodic in the FFT length. Using a rectangular window when
analysing such a tone would generate spectral leakage, making it difficult to resolve
the frequency details - the plot below shows an example of a 1kHz tone from an
external generator with a Rectangular window.

Here is the same tone analysed with a Hann window.

The window allows the harmonics of the tone to be resolved.
However, the tradeoff is that windows cause some spreading of the signal they
are analysing, which reduces the frequency resolution. To use a rectangular window
with the REW signal generator use the generator's
Lock frequency to FFT option.

The Hann window is well suited to most measurements, offering a good tradeoff between resolution and shoulder height. If very high dynamic range needs to be resolved (very small signals close to very large signals) use the 4-term or 7-term Blackman-Harris windows. If the spectral peak amplitudes must be accurately measured use the Flat Top window, this will provide amplitude accuracy of 0.01 dB regardless of where the tone being measured falls relative to the bins of the FFT. The other windows only show the spectral amplitude accurately if the tone is exactly on the centre of an FFT bin, if the tone falls between two bins the amplitude is lower, with the maximum error occurring exactly between two bins. This maximum error is 3.92dB for the Rectangular window, 1.42dB for Hann, 0.83dB for the 4-term Blackman-Harris and 0.4dB for the 7-term Blackman-Harris.

The spectrum/RTA plot can be updated for every block of audio data that is captured from the input, overlapping sequences of the chosen FFT length. This can present a significant processor load for large FFT lengths. The processor loading can be reduced by limiting the overlap allowed using this control.

The spectrum/RTA plot is updated by default for every block of audio data that is captured from the input. This can cause a significant processor load, particularly if the RTA window is very large or for large FFT lengths. The processor loading can be reduced by updating the plot less often, which is set by the Update Interval control. An update interval of 1 redraws the trace for every block, an interval of 4 (for example) only updates the trace on every 4th block.

The RTA plot shows the energy within each octave fraction bandwidth. As the
RTA resolution increases, from 1 octave through to 1/48 octave, the octave
fraction bandwidths decrease and, for broadband test signals such as pink noise,
the energy in each octave fraction decreases correspondingly. Whilst the RTA is
correctly showing the actual level within each octave fraction, this variation of
trace level with RTA resolution can be awkward when using the RTA with a pink PN
noise signal to adjust speaker positions or equaliser settings. The
*Adjust RTA Levels* option offsets the levels shown on the RTA plot to
compensate for both the bandwidth variation as resolution is changed and the
difference between a sweep measurement at a given sweep level and a pink PN RTA
measurement at the same level, allowing direct comparison between RTA and sweep plots.
Whilst the levels shown are not the true SPL in each octave fraction, they are more
convenient to work with. **N.B.** This option should only be used with broadband test
signals, such as pink noise or pink PN.

If this option is selected the distortion data panel includes the phase of
each harmonic relative to the fundamental.

The plot can be set to show the live input as it is analysed or to show
the result of averaging measurements, according to the selection
in the *Averaging* control. Selecting a number for averages results
in that many measurements being averaged to produce the result, with the oldest
measurement being removed from the average as each new measurement is added.
There are several *Exponential* averaging modes, which give greater
weighting to more recent inputs. The figure shown in the selection box
is the proportion of the old value which is retained when a new measurement
is added, the higher the figure the more heavily averaged the display becomes.
There is also a *Forever* averaging mode which averages
all measurements with equal weight since the last averaging reset.

The *Reset Averaging* button above the graph restarts the averaging
process (keyboard shortcut Alt+R). Averaging is needed when measuring with
pink noise or when there is noise in the signal being measured. Note that
if measuring a response using pink noise the best results are obtained using
REW's periodic noise
signals, which can be exported as wave files from the signal generator to
produce a test disc for the system to be measured if direct connection to
the PC running REW is not possible.

The *Save* button converts the current display into a measurement
in the measurements pane (keyboard shortcut Alt+S). It is converted in the
current mode of the analyser, so if the analyser is in Spectrum mode the
measurement shows the spectrum, if it is in RTA mode it shows the RTA result.
The saved measurements can be used as references for subsequent spectrum/RTA
measurements. If distortion data is available it is copied to the comments
area of the saved measurement.

When the *Distortion* button (keyboard shortcut Alt+D) is selected
the analyser calculates harmonic or intermodulation distortion figures for the
input, including THD, THD+N and the relative levels of the 2nd to 9th harmonics.

**Harmonic distortion results are only valid when the system being monitored
is driven by a sine wave at a single frequency.** The highest peak is used
to determine the fundamental frequency of the input, this is displayed with
the level of the fundamental. The THD figure is based on the number of harmonics
whose levels are displayed and is calculated from the sum of those harmonic
powers relative to the power of the fundamental. Individual harmonic figures are
also calculated from their power relative to the power of the fundamental. In
calculating the power for the fundamental and harmonics the energy in the FFT bins
within the relevant span of the nominal frequencies appropriate for the RTA window
selection is summed and then corrected according to the window's equivalent noise
bandwidth. The THD+N figure is calculated from the ratio of the input power minus
the fundamental power to the total input power (note that it is possible for THD+N
to be lower than THD using these definitions). The example below shows data for a
1 kHz sine input. The positions of the harmonics are shown on the spectrum or RTA
plot.

**Intermodulation distortion results are only valid when the system being
monitored is driven using REW's Dual Tone
test signal.** The generator provides preset signals for SMPTE, DIN and CCIF
intermodulation measurements and a 'Custom' option allowing a user-selected pair
of frequencies at a 1:1 or 4:1 ratio. When the signals are in 1:1 ratio the IMD
figure is calculated from the level at f2-f1 (also called Difference Frequency
Distortion or DFD), the reference level for the percentage figure is **twice**
the level at f2. For signals with 4:1 ratio the IMD is calculated from the 2nd
order (d2) and 3rd order (d3) components, the reference level for the percentage
figure is the level at f2. REW displays the overall IMD figure and, where appropriate,
the individual d2 and d3 levels, labelled as follows:

Component | Freq |
---|---|

d2L | f2 - f1 |

d2H | f2 + f1 |

d3L | f2 - 2*f1 |

d3H | f2 + 2*f1 |