Level transmitter for the radar-based measurement of the level (L) of a medium located in a vessel , said transmitter comprising the following components: - a measuring unit, which is designed to determine the dielectric constant (DC) of the medium , - a signal generation unit, which is designed to couple a radar-based measuring signal (S HF ) into - an antenna or a probe , wherein the antenna or the probe can be aligned in such a way that the measuring signal (S HF ) is transmitted in the direction of the medium , and - an evaluation unit, which is designed to ∘ receive an echo signal (E HF ) via the antenna or the probe following the reflection of the transmission signal (S HF ), ∘ create a measuring curve (E' HF ) using at least the echo signal (EHF), ∘ determine the level (L) using a maximum (M L ) of the measuring curve (E' HF ) if the maximum (M L ) exceeds the corresponding value of a predefined reference curve (R HF ), and ∘ set an offset (Δh) and/or a function type of the reference curve (R HF ) as a function of the measured dielectric constant (DC), wherein the measuring unit is designed to measure the dielectric constant (DC) in that the measuring unit - detects an extreme value (M min ) of the measuring curve (E' HF ) that corresponds approximately to a predefined minimum level (L min ), - determines a shift of the extreme value (ΔM min ) if a level change (ΔL) is detected, and - determines the dielectric constant (DC) using the shift of the extreme value (ΔM min ) and using the level change (ΔL). - a measuring unit, which is designed to determine the dielectric constant (DC) of the medium , - a signal generation unit, which is designed to couple a radar-based measuring signal (S HF ) into - an antenna or a probe , wherein the antenna or the probe can be aligned in such a way that the measuring signal (S HF ) is transmitted in the direction of the medium , and - an evaluation unit, which is designed to ∘ receive an echo signal (E HF ) via the antenna or the probe following the reflection of the transmission signal (S HF ), ∘ create a measuring curve (E' HF ) using at least the echo signal (EHF), ∘ determine the level (L) using a maximum (M L ) of the measuring curve (E' HF ) if the maximum (M L ) exceeds the corresponding value of a predefined reference curve (R HF ), and ∘ set an offset (Δh) and/or a function type of the reference curve (R HF ) as a function of the measured dielectric constant (DC), ∘ receive an echo signal (E HF ) via the antenna or the probe following the reflection of the transmission signal (S HF ), ∘ create a measuring curve (E' HF ) using at least the echo signal (EHF), ∘ determine the level (L) using a maximum (M L ) of the measuring curve (E' HF ) if the maximum (M L ) exceeds the corresponding value of a predefined reference curve (R HF ), and ∘ set an offset (Δh) and/or a function type of the reference curve (R HF ) as a function of the measured dielectric constant (DC), - detects an extreme value (M min ) of the measuring curve (E' HF ) that corresponds approximately to a predefined minimum level (L min ), - determines a shift of the extreme value (ΔM min ) if a level change (ΔL) is detected, and - determines the dielectric constant (DC) using the shift of the extreme value (ΔM min ) and using the level change (ΔL). <EOS>