Mathematics category

Complex and Fourier calculators

Complex numbers, phase, frequency and transform relationships.

134 calculators in this category. Page 1 of 3.

complex arithmeticphasorsFourier analysis
Complex and Fourier

Complex addition

Add two complex numbers by combining their real and imaginary components.

Open calculator
Complex and Fourier

Complex multiplication

Multiply two complex numbers and display the rectangular-form result.

Open calculator
Complex and Fourier

Complex division

Divide one complex number by another using the denominator's conjugate.

Open calculator
Complex and Fourier

Complex polar form

Convert z=a+bi into magnitude and phase angle.

Open calculator
Complex and Fourier

Euler formula

Evaluate eⁱᶿ as cosine and sine components on the unit circle.

Open calculator
Complex and Fourier

Principal complex root

Calculate the principal nth root of a complex number in polar form.

Open calculator
Complex and Fourier

Phasor addition

Add two magnitude-phase phasors and return the combined magnitude and phase.

Open calculator
Complex and Fourier

Four-sample DFT

Calculate one discrete Fourier transform bin from four real-valued samples.

Open calculator
Complex and Fourier

Complex Product Modulus

Calculate product modulus from first complex modulus and second complex modulus.

Open calculator
Complex and Fourier

Complex Product Modulus: solve first complex modulus

Rearrange the complex product modulus relationship and solve for first complex modulus.

Open calculator
Complex and Fourier

Complex Product Modulus: solve second complex modulus

Rearrange the complex product modulus relationship and solve for second complex modulus.

Open calculator
Complex and Fourier

Complex Sum Real Part

Calculate sum real component from first real component and second real component.

Open calculator
Complex and Fourier

Complex Sum Real Part: solve first real component

Rearrange the complex sum real part relationship and solve for first real component.

Open calculator
Complex and Fourier

Complex Sum Real Part: solve second real component

Rearrange the complex sum real part relationship and solve for second real component.

Open calculator
Complex and Fourier

Complex Difference Real Part

Calculate difference real component from minuend real component and subtrahend real component.

Open calculator
Complex and Fourier

Complex Difference Real Part: solve minuend real component

Rearrange the complex difference real part relationship and solve for minuend real component.

Open calculator
Complex and Fourier

Complex Difference Real Part: solve subtrahend real component

Rearrange the complex difference real part relationship and solve for subtrahend real component.

Open calculator
Complex and Fourier

Complex Component Modulus

Calculate complex modulus from real component and imaginary component.

Open calculator
Complex and Fourier

Complex Component Modulus: solve real component

Rearrange the complex component modulus relationship and solve for real component.

Open calculator
Complex and Fourier

Complex Component Modulus: solve imaginary component

Rearrange the complex component modulus relationship and solve for imaginary component.

Open calculator
Complex and Fourier

Fourier Bin Resolution

Calculate frequency-bin width from sampling rate and sample count.

Open calculator
Complex and Fourier

Fourier Bin Resolution: solve sampling rate

Rearrange the fourier bin resolution relationship and solve for sampling rate.

Open calculator
Complex and Fourier

Fourier Bin Resolution: solve sample count

Rearrange the fourier bin resolution relationship and solve for sample count.

Open calculator
Complex and Fourier

Uniform Sample Period

Calculate sample period from record duration and sample intervals.

Open calculator
Complex and Fourier

Uniform Sample Period: solve record duration

Rearrange the uniform sample period relationship and solve for record duration.

Open calculator
Complex and Fourier

Uniform Sample Period: solve sample intervals

Rearrange the uniform sample period relationship and solve for sample intervals.

Open calculator
Complex and Fourier

Angular Frequency from Cycles

Calculate angular frequency from completed cycles and elapsed time.

Open calculator
Complex and Fourier

Angular Frequency from Cycles: solve completed cycles

Rearrange the angular frequency from cycles relationship and solve for completed cycles.

Open calculator
Complex and Fourier

Angular Frequency from Cycles: solve elapsed time

Rearrange the angular frequency from cycles relationship and solve for elapsed time.

Open calculator
Complex and Fourier

Wave Number from Phase Cycles

Calculate wave number from phase cycles across distance and represented distance.

Open calculator
Complex and Fourier

Wave Number from Phase Cycles: solve phase cycles across distance

Rearrange the wave number from phase cycles relationship and solve for phase cycles across distance.

Open calculator
Complex and Fourier

Wave Number from Phase Cycles: solve represented distance

Rearrange the wave number from phase cycles relationship and solve for represented distance.

Open calculator
Complex and Fourier

Normalized Fourier Coefficient

Calculate normalized coefficient component from raw coefficient component sum and sample count.

Open calculator
Complex and Fourier

Normalized Fourier Coefficient: solve raw coefficient component sum

Rearrange the normalized fourier coefficient relationship and solve for raw coefficient component sum.

Open calculator
Complex and Fourier

Normalized Fourier Coefficient: solve sample count

Rearrange the normalized fourier coefficient relationship and solve for sample count.

Open calculator
Complex and Fourier

Fourier Bin Frequency

Calculate represented frequency from frequency-bin index and frequency-bin width.

Open calculator
Complex and Fourier

Fourier Bin Frequency: solve frequency-bin index

Rearrange the fourier bin frequency relationship and solve for frequency-bin index.

Open calculator
Complex and Fourier

Fourier Bin Frequency: solve frequency-bin width

Rearrange the fourier bin frequency relationship and solve for frequency-bin width.

Open calculator
Complex and Fourier

Complex-Power Modulus

Calculate resulting modulus from base complex modulus and real exponent.

Open calculator
Complex and Fourier

Complex-Power Modulus: solve base complex modulus

Rearrange the complex-power modulus relationship and solve for base complex modulus.

Open calculator
Complex and Fourier

Complex-Power Modulus: solve real exponent

Rearrange the complex-power modulus relationship and solve for real exponent.

Open calculator
Complex and Fourier

Phase Velocity

Calculate phase velocity from angular frequency and wave number.

Open calculator
Complex and Fourier

Phase Velocity: solve angular frequency

Rearrange the phase velocity relationship and solve for angular frequency.

Open calculator
Complex and Fourier

Phase Velocity: solve wave number

Rearrange the phase velocity relationship and solve for wave number.

Open calculator
Complex and Fourier

Complex Modulus Squared

Calculate modulus squared from real component and imaginary component.

Open calculator
Complex and Fourier

Complex Modulus Squared: solve real component

Rearrange the complex modulus squared relationship and solve for real component.

Open calculator
Complex and Fourier

Complex Modulus Squared: solve imaginary component

Rearrange the complex modulus squared relationship and solve for imaginary component.

Open calculator
Complex and Fourier

Fourier Quadrature Mode Energy

Calculate mode energy index from cosine coefficient and sine coefficient.

Open calculator
MW SysArc Certified